Question

Find the values of a and b such that
x^2 + 3x + 4 = (x + a)^2+ b

Answer 1

a=3/2

b=7/4

hope this help

Answer 2

`x {}^(2) + 3x + 4 = (x + a) {}^(2) + b \\ x {}^(2) + 3x + 4 = x {}^(2) + 2ax + a {}^(2) + b \\ = x {}^(2) + a {}^(2) + 2ax + b \\ 2a = 3 \\ b = 4 \\ a = (3)/(2) \\ b = 4`