Complete the square on the equation (x^2)-4x-3
x2-4x-3 First factorise into squared form and expand.(x-2)2=x2-4x+4Balance the equations.x2-4x+4 needs to be x2-4x-3This leads to(x-2)2-4-3 to get rid of the +4 from factorising.Leaving finally(x-2)2-7As an extension could ask the student about minimum value of the curve
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Related Maths GCSE answers
All answers ▸Find the two points of intersection of the graphs 2x+y=7 and x^2-8x+7=y. Solve using only algebraic methods (no graphical).
solve this simulatneous equations (with clear algebraic working) : 5x-2y = 33 , 5x + 8y = 18
How many past papers should i do before the exam?
Jo wants to work out the solutions of x^2 + 3x – 5 = 0 She says, ‘‘The solutions cannot be worked out because x^2 + 3x – 5 does not factorise to (x + a)(x + b) where a and b are integers.’’ Is Jo correct?