Question

You are given that x^2+ ax + b = (x - 5)^2+ 7 Work out the values of a and b.

Answer 1

The values of a and b from the equation is -10 and 32

Given the equation expressed as $x^2+ ax + b = (x - 5)^2+ 7$

Expand the right side of the equation to have:

$x^2+ ax + b = (x - 5)^2+ 7\\x^2+ ax + b = x^2 -10x + 25 + 7$

Simplify the result to have:

$x^2+ ax + b = x^2 -10x + 32$

Compare both sides of the equation:

ax = -10x

a  = -10

Similarly;

b = 32

Hence the values of a and b from the equation is -10 and 32

Learn more on equations here: brainly.com/question/1214333