# How do you solve #\sqrt { 5v - 9} = v - 1#?

##### 2 Answers

Eliminate the radical by squaring both sides of the equation

Combine like terms

Solve the resulting quadratic

Check the answers.

#### Explanation:

Eliminate the radical by squaring both sides of the equation

Combine like terms:

Solve the resulting quadratic:

Check both answers:

Both answers check.

#### Explanation:

Step 1) Square both sides of the equation to eliminate square root.

Step 2) Use FOIL and simplify

Step 3) Consider when

i)

Factor left side of the equation

Check if it satisfies range

ii)

Use quadratic formula

Check if it satisfies range

But if you substitute

Moderate 1 and 2,