Given that x 2 10x 36 (x a) 2 b, where a and b are constants, a Find the value of a and the value of b b Hence show that the equation x 2 10x 36 0 has no real roots The equation x 2 10x k 0 has equal roots c Find the value of k d For this value of k, sketch the graph of y x 2 10x k, showing the coo...

a To find the values of a and b we can expand the given expression x2 10x 36x a2 b x2 10x 36x2 2ax a ...

Given that x 2 + 10x + 36 (x + a) 2 + b, where a and

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Given that x² + 10x + 36 (x + a)² + b, where a and b are constants,

a. Find the value of a and the value of b.

b. Hence show that the equation x² + 10x + 36 = 0 has no real roots. The equation x² + 10x + k = 0 has equal roots.

c. Find the value of k.

d. For this value of k, sketch the graph of y = x² + 10x + k, showing the coordinates of any points at which the graph meets the coordinate axes.

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Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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Authors: Greg Attwood

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Given that x 2 + 10x + 36 (x + a) 2 + b, where a and

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a To find the values of a and b we can expand the given expression x2 10x 36x a2 b x2 10x 36x2 2ax a...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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