Calculus Examples

$24^{2} + y^{2} = 625$

Step 1

Raise $24$ to the power of $2$ .

$576 + y^{2} = 625$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Tap for more steps...

Step 2.1

Subtract $576$ from both sides of the equation.

$y^{2} = 625 - 576$

Step 2.2

Subtract $576$ from $625$ .

$y^{2} = 49$

Step 3

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

$y = \pm \sqrt{49}$

Step 4

Simplify $\pm \sqrt{49}$ .

Tap for more steps...

Step 4.1

Rewrite $49$ as $7^{2}$ .

$y = \pm \sqrt{7^{2}}$

Step 4.2

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

$y = \pm 7$

Step 5

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

Tap for more steps...

Step 5.1

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

$y = 7$

Step 5.2

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

$y = - 7$

Step 5.3

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

$y = 7, - 7$