Algebra Examples

$x^{2} + y = 9$

Step 1

Find the x-intercepts.

Tap for more steps...

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$x^{2} + 0 = 9$

Solve the equation.

Tap for more steps...

Add $x^{2}$ and $0$ .

$x^{2} = 9$

Take the square root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt{9}$

Simplify $\pm \sqrt{9}$ .

Tap for more steps...

Rewrite $9$ as $3^{2}$ .

$x = \pm \sqrt{3^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$x = \pm 3$

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

First, use the positive value of the $\pm$ to find the first solution.

$x = 3$

Next, use the negative value of the $\pm$ to find the second solution.

$x = - 3$

The complete solution is the result of both the positive and negative portions of the solution.

$x = 3, - 3$

x-intercept(s) in point form.

x-intercept(s): $(3, 0), (- 3, 0)$

Step 2

Find the y-intercepts.

Tap for more steps...

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

${(0)}^{2} + y = 9$

Simplify ${(0)}^{2} + y$ .

Tap for more steps...

Raising $0$ to any positive power yields $0$ .

$0 + y = 9$

Add $0$ and $y$ .

$y = 9$

y-intercept(s) in point form.

y-intercept(s): $(0, 9)$

Step 3

List the intersections.

x-intercept(s): $(3, 0), (- 3, 0)$

y-intercept(s): $(0, 9)$

Step 4