Question

what number should be added to both sides of the equation to complete this square? x^2-10x=7

Answer 1

Answer:

The number is 25

Step-by-step explanation:

we have

$x^{2} -10x=7$

we know that

$10/2=5$

so

Adds $5^{2}$ both sides

$x^{2} -10x+5^{2}=7+5^{2}$

$x^{2} -10x+25=7+25$

$x^{2} -10x+25=32$

Rewrite as perfect squares

$(x-5)^{2}=32$