# Quadratic Equation: Square Root

How to solve a quadratic equation by square rooting both sides: 3 examples and their solutions.

## Example 1

### Example

A quadratic equation is an equation

that has a quadratic term: x^{2}.

### Solution

See the given equation

x^{2} = 9.

The left side is x^{2}.

The right side is plus.

Then square root both sides.

The left side is x.

The right side is

plus minus

square root

9.

±√9 = ±√3^{2} = ±3

Square Root

So x = ±3.

## Example 2

### Example

### Solution

Move -7 to the right side.

The left side is x^{2}.

The right side is plus.

Then square root both sides.

The left side is x.

The right side is

plus minus

square root

7.

So x = ±√7.

## Example 3

### Example

### Solution

The left side is x^{2}.

It's either 0 or plus.

But the right side is minus.

Then this quadratic equation has no solution.

So [No solution] is the answer.