# How do you solve #x^2=24x+10# by completing the square?

##### 2 Answers

#### Answer:

#### Explanation:

Given

Shift all the terms which include the variable

Since, in general, the expansion of a squared binomial has the structure:

#color(white)("XXX")(x+a)^2=underline(x^2+2ax) + a^2#

If

then the third terms should be

In order to *complete the square* we will need to add

Writing as a squared binomial and simplifying:

Taking the square root of both sides

Adding

#### Answer:

#### Explanation:

take the factor of x, half it and square, then add both sides