Question

Solve using the perfect squares method
(2x+5)^2=25

Answer 1

Square Root Both sides.

For example, if you had


\((x + 3)^2 = 9\)

You would recognize that the left side is a binomial square and the right side contains an integer square. Then you would express the equation as:

\((x + 3)^2 = 3^2\)

If you recall \(3^2 = 3(3) = 9\)

Then you would take the square root of both sides:
\(\sqrt{(x + 3)^2} = \sqrt{3^2}\)

Square root and square are inverses of each other. In other words, they cancel. So:
\(x + 3 = 3\)

And then you isolate x afterwards:
x = 3 - 3
x = 0

Answer 2

Also keep in mind that for your problem, there are two answers since
\(\sqrt{a^2} = \pm a\)