4 months ago
Q:

Let ​ x^2+18x=44 .​ What values make an equivalent number sentence after completing the square? PLEASE EXPLAIN

Accepted Solution

A:
To find the final term to compete the square you need to divide the 'x' term by 2 then square it

[tex]x^2 +18x + = 44+ \\ x^2+18x+( \frac{18}{2} )^2=44+( \frac{18}{2} )^2 \\ x^2+18x+9^2=44+9^2 \\ x^2+18x+81=44+81 \\ (x+9)^2=125[/tex] - equivalent equation