Question

X^2-12x+a=(x+b)^2 find the value of a and b

Answer 1

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x^2 + 12x + a = (x+b)^2

x^2 + 12x + a = x^2 + 2bx + b^2

So

2b = 12

b = 6

and

a = b^2

a = 6^2 = 36

So

the final eqn is

x^2 + 12x + 36