Question

Y = x² + 7x - 5 Can be written in the form y = ( x + a )² + b. Find the value of a and the value of b.

​

Answer 1

`a=(7)/(2) \\\\b=(49)/(4) \\`

Explanation:

`y=x^2+7x-5\\\\=x^2+2*(7)/(2)*x +(49)/(4) -(49)/(4) -(20)/(4) \\\\=(x+(7)/(2) )^2+(69)/(4) \\\\a=(7)/(2) \\\\b=(49)/(4) \\`