Tes Global Ltd is registered in England (Company No 02017289) with its registered office … Read about our approach to external linking. For 2 real equal roots, it is equal to 0. b² – 4ac < 0 No real roots. Maths Genie - A Level Maths revision page. Formula Book The Quadratic Formula Hegarty keyboard_arrow_up. If the quadratic has two distinct roots, the discriminant must be positive, i.e. For no real roots, it is less than 0. Back to Top. Maths Genie - A Level Exam Papers - Exam Papers, Mark Schemes and Solutions A Level Exam Papers (Edexcel) A Level exam papers and mark schemes. This website and its content is subject to our Terms and Conditions. Discriminant is NOT given in the Higher Maths exam – please memorise. Show that the particle is never at rest. 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. 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. What type of roots the equation has can be shown by the discriminant. The discriminant is for a quadratic in the form For two distinct real roots, it must be strictly greater than 0. Example x 2 - 5x + 2 = 0. a = 1, b = -5, c = 2 GCSE, A level, pure, mechanics, statistics, discrete – if it’s in a Maths exam, Paul will know about it. And the types of root the equation has can be worked out as follows: Find the nature of the roots of \(2{x^2} + 3x - 6 = 0\). determine the nature of the roots and then solve. The Discriminant. An SQA N5 Maths exam question on the Discriminant is: “Find the range of values of p such that the equation px² – 2x + 3 = 0, p ≠ 0, has no real roots”. The discriminant for a quadratic equation \(a{x^2} + bx + c = 0\) is \({b^2} - 4ac\). • If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). • Fill in the boxes at the top of this page with your name. Formula Book New AS and A Level Content Edexcel AS and A Level Data Set. 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. x x 6M —10 ID —- / O / rv-7 net 76 — / 00 / rvv —S+ãj The discriminant is \ ({b^2} - 4ac\), which comes from the quadratic formula and we can use this to find the nature of the roots. Maths revision video and notes on the topics of quadratic equations and the discriminant. Here I introduce this playlist for the most up to date 2017 spec, covering all exam boards AQA, Edexcel, OCR and OCR MEI. Page 1 of 1 ... A level maths Maths study tips. Maths Genie keyboard_arrow_up. Wasn't entirel 1)View SolutionHelpful TutorialsSubstitution method for linear and non-linear equationsRoots and […] 1 —6 8 rvt0C — / Ina C 100 —72 g¼+ll+ — GSC a 100 1 . Find your group chat here >> start new discussion reply. Maths Genie face reveal? Exam questions for C1, C2, C3, C4, S1 and M1 arranged by module and topic. These videos are made by Maths Genie. A video revising the techniques and strategies for working with the factor theorem (GCSE Further Maths & A-Level Only). The discriminant for a quadratic equation \ (a {x^2} + bx + c = 0\) is \ ({b^2} - 4ac\). Announcements Government announces GCSE and A-level students will receive teacher awarded grades this year >> Applying to uni? All A level questions arranged by topic. lhh2003 ... As level maths - functions and alegbra inequalities help … Edexcel AS and A Level Data Set 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. Roots and discriminant of a quadratic equation In video I explain what we mean by roots and the discriminant of a quadratic equation. Consider the three possible combinations: The points where the graph cuts the x … Welcome to A-Level Maths. It follows that it is then given by . The Previous A Level Specification Page Using the discriminant with circles 1 November 14, 2018 Aug 21­5:12 PM L.O. Tes Global Ltd is registered in England (Company No 02017289) with its registered office … All A level questions arranged by topic. Show that C and L, intersect for all values of c. SYN-A , … 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. The discriminant is given by where a=p, b=3p and c=-5. 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). Be sure to visit his website for top-quality GCSE and A Level revision resources. Source: N5 Maths, Specimen, P2, Q12. Therefore we have to solve this using \(a = 1,\,b = 2k\,and\,c = 36\), \[{(2k)^2} - (4 \times 1 \times 36) = 0\]. . New AS and A Level Content Find the value(s) of \(k\) if \({x^2} + 2kx + 36 = 0\) has one real root. Discriminant A-level; Videos; discriminant; Post navigation. 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. For the quadratic function \(y = (2x + 3)(x - 5)\) determine the nature of the roots and then solve. Many students fell into the trap set up by teachers and examiners. Watch. These videos are made by the award winning Hegarty Maths. 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. Pearson Education accepts no responsibility whatsoever for the accuracy or method of working in the answers given. . 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. 0. reply. The velocity of a particle P at time t seconds is given by v=t^2-14t+50 where t is greater than 0. GCSE Revision Cards. The discriminant for a quadratic equation. 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