Solve for y y^2+0y-1=0

$y^{2} + 0 y - 1 = 0$

Step 1

Simplify $y^{2} + 0 y - 1$ .

Multiply $0$ by $y$ .

$y^{2} + 0 - 1 = 0$

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

$y^{2} - 1 = 0$

Step 2

Add $1$ to both sides of the equation.

$y^{2} = 1$

Step 3

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

$y = \pm \sqrt{1}$

Step 4

Any root of $1$ is $1$ .

$y = \pm 1$

Step 5

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

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

$y = 1$

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

$y = - 1$

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

$y = 1, - 1$