Question: x 2 8x 29 (x + a) 2 + b, where a and b are constants. a. Find the value of a

x2 − 8x − 29 ≡ (x + a)2 + b, where a and b are constants.

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

b. Hence, or otherwise, show that the roots of x2 − 8x − 29 = 0 are c ± d√5, where c and d are integers.

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