Here I introduce this playlist for the most up to date 2017 spec, covering all exam boards AQA, Edexcel, OCR and OCR MEI. This video is part of the Algebra module in GCSE Further Maths & A-Level maths, see my other videos below to continue with the series. For 2 real equal roots, it is equal to 0. Our tips from experts and exam survivors will help you through. 1)View SolutionHelpful TutorialsSubstitution method for linear and non-linear equationsRoots and […] To be able to apply the discriminant to circles 14/11/18 You know from when we looked at the discriminant that a straight line can either Discriminant A-level; Videos; discriminant; Post navigation. GCSE, A level, pure, mechanics, statistics, discrete – if it’s in a Maths exam, Paul will know about it. A video revising the techniques and strategies for working with the factor theorem (GCSE Further Maths & A-Level Only). Made by expert teachers. Find the value(s) of \(k\) if \({x^2} + 2kx + 36 = 0\) has one real root. Maths Genie keyboard_arrow_up. Pearson Education accepts no responsibility whatsoever for the accuracy or method of working in the answers given. Edexcel A Level Pure Maths exam revision with questions and model answers for Using the Discriminant 1. The discriminant, D = b 2 - 4ac Note: This is the expression inside the square root of the quadratic formula There are three cases for the discriminant; Case 1: b 2 - 4ac > 0 If the discriminant is greater than zero, this means that the quadratic equation has two real, distinct (different) roots. (i) Find the discriminant of kx2 — 4x + k in terms of k. (ii) The quadratic equation kx2 — 4x + k = O has equal roots. Previous Pi…. x x 6M —10 ID —- / O / rv-7 net 76 — / 00 / rvv —S+ãj These videos are made by the award winning Hegarty Maths. Pearson Education accepts no responsibility whatsoever for the accuracy or method of working in the answers given. A video revising the techniques and strategies for working with the factor theorem (GCSE Further Maths & A-Level Only). lhh2003 ... As level maths - functions and alegbra inequalities help … Maths Genie - A Level Exam Papers - Exam Papers, Mark Schemes and Solutions A Level Exam Papers (Edexcel) A Level exam papers and mark schemes. The nature and co-ordinates of roots can be determined using the discriminant and solving polynomials as part of Bitesize Higher Maths For no real roots, it is less than 0. Formula Book Roots can occur in a parabola in 3 different ways as shown in the diagram below: In diagram A, we can see that this parabola has 2 roots, diagram B has 1 root and diagram C has no roots. This page is for the new AS and A Level Maths specification for first teaching September 2017. And the types of root the equation has can be worked out as follows: , the roots are real and unequal (diagram A), , the roots are real and equal (diagram B). Edexcel AS and A Level Data Set The discriminant for a quadratic equation \(a{x^2} + bx + c = 0\) is \({b^2} - 4ac\). Maths Genie - A Level Maths revision page. b² – 4ac = 0 Roots are real and equal. The Discriminant. • Answer all questions and ensure that your answers to … Wasn't entirel This page is for the new AS and A Level Maths specification for first teaching September 2017. Example x 2 - 5x + 2 = 0. a = 1, b = -5, c = 2 b² – 4ac < 0 No real roots. Trinomial coefficients a, b & c (from ax² + bx + c) are substituted into b² – 4ac. 1 —6 8 rvt0C — / Ina C 100 —72 g¼+ll+ — GSC a 100 1 . These videos are made by Maths Genie. CASIO FX-991EX Advanced Scientific Calculator, CASIO FX-991EX Advanced Scientific Calculator, The Factor Theorem and Algebraic Division, Quadratics Inequalities and Simultaneous Equations, Sine Rule, Cosine Rule, Area of Any Triangle, Using the Normal Distribution to approximate the Binomial, Mean of Normal Distribution Hypothesis Testing, Probability and Statistical Distributions, Statistical Sampling and Hypothesis Testing. . \(= 169\textgreater0\) therefore roots are real and unequal. Find your group chat here >> start new discussion reply. By using discriminant considerations, show that the above quadratic equation will always have real solutions. The velocity of a particle P at time t seconds is given by v=t^2-14t+50 where t is greater than 0. . Welcome to A-Level Maths. The discriminant is for a quadratic in the form For two distinct real roots, it must be strictly greater than 0. SYN-Q , proof Question 28 (****) The curve C and the straight line L have respective equations 2 2 1 2 y x − = and y x c= + , where c is a constant. Back to Top. The discriminant is \ ({b^2} - 4ac\), which comes from the quadratic formula and we can use this to find the nature of the roots. Firstly we need to remove the brackets using FOIL: Using the discriminant to find the nature: \[= {( - 7)^2} - (4 \times 2 \times - 15)\]. A Level (Edexcel) This page is for the new AS and A Level Maths specification for first … Show that C and L, intersect for all values of c. SYN-A , … In GCE 'O' Level A-Math, there is a commonly asked question in Quadratic Equations. The Previous A Level Specification Page • If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). and since the question already gave us the quadratic in its factorised form, we will use this to solve to find values for, Dividing and factorising polynomial expressions, Solving logarithmic and exponential equations, Identifying and sketching related functions, Determining composite and inverse functions, Religious, moral and philosophical studies. Tes Global Ltd is registered in England (Company No 02017289) with its registered office … How the discriminant tells us how many roots a quadratic equation has and the relationship of a quadratic graph to the number of roots based on how it cuts the x-axis. b² – 4ac > 0 Roots are real and distinct. If the quadratic has two distinct roots, the discriminant must be positive, i.e. Discriminant is k2 —4k For no real roots, k2 —4k < O Hence k(k — 4) < O So O < k < 4 Ml 2 Ml Ml 4 For attempted use of the discriminant For correct expression (in any form) For stating their A < O For factorising attempt (or other soln method) For both correct … Discriminant is NOT given in the Higher Maths exam – please memorise. If the quadratic has one real root, then \({b^2} - 4ac = 0\). “2 roots” is not accepted. New AS and A Level Content The b 2-4ac part is called the discriminant and the value of a discriminant could allow us to know the number of real roots that a quadratic function has.In other words, how many times does a quadratic curve cross the horizontal x axis in a graph? What type of roots the equation has can be shown by the discriminant. Formula Book New AS and A Level Content Edexcel AS and A Level Data Set. Watch. Source: N5 Maths, Specimen, P2, Q12. 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. Roots and discriminant of a quadratic equation In video I explain what we mean by roots and the discriminant of a quadratic equation. Be sure to visit his website for top-quality GCSE and A Level revision resources. Tes Global Ltd is registered in England (Company No 02017289) with its registered office … Paul is a passionate fan of clear and colourful notes with fascinating diagrams – one of the many reasons he is excited to be a member of the SME team. • Fill in the boxes at the top of this page with your name. For the new A Level I am using the Casio fx-991EX Classwiz Calculator: (i) Writedown the discriminant of x 2 + kx+k in terms of … All A level questions arranged by topic. And the types of root the equation has can be worked out as follows: Find the nature of the roots of \(2{x^2} + 3x - 6 = 0\). Read about our approach to external linking. The wording is important. To solve the quadratic equation, we make \(y = 0\) and since the question already gave us the quadratic in its factorised form, we will use this to solve to find values for \(x\). Consider the three possible combinations: The points where the graph cuts the x … Find the possible values of k. [2] [3] The quadratic equation x2 + kx + k = O has no real roots for x. For the quadratic function \(y = (2x + 3)(x - 5)\) determine the nature of the roots and then solve. In general, we could apply the formula to work out the solutions of a quadratic function ax 2 +bx+c=0.. Maths revision video and notes on the topics of quadratic equations and the discriminant. Show that the particle is never at rest. And since we are told in question that k is a real number the discriminant is positive and if the discriminant is greater than 0, then there are 2 different real roots, thus answering the question. Page 1 of 1 ... A level maths Maths study tips. 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