# How do you solve using the completing the square method #4t^2 = 8t - 1#?

##### 2 Answers

See details below to obtain

#### Explanation:

Given

Get all terms involving the variable on the left side

Divide both sides by

If

then the third term must be

Complete the square by adding

Re-write the left side as a squared binomial

Taking the square roots:

Add

#### Explanation:

Move all values with

Divide everything by the initial coefficient

Add the square of half the coefficient

Rewrite in perfect square form and simplify the right hand side

Take

Add one to both sides