Solve 9n^(2)-1 - ScanMath

Evaluate

9 n^{2} - 1

To find the roots of the expression,set the expression equal to 0

9 n^{2} - 1 = 0

Move the constant to the right-hand side and change its sign

9 n^{2} = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

9 n^{2} = 1

Divide both sides

\frac{9 n ^{2}}{9} = \frac{1}{9}

Divide the numbers

n^{2} = \frac{1}{9}

Take the root of both sides of the equation and remember to use both positive and negative roots

n = \pm \frac{1}{9}

Simplify the expression

More Steps

n = \pm \frac{1}{3}

Separate the equation into 2 possible cases

n = \frac{1}{3} n = - \frac{1}{3}

Solution

n_{1} = - \frac{1}{3}, n_{2} = \frac{1}{3}

Alternative Form

n_{1} = - 0. \dot{3}, n_{2} = 0. \dot{3}

Factor the expression