Solve 36x^2-1 - ScanMath

Evaluate

36 x^{2} - 1

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

36 x^{2} - 1 = 0

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

36 x^{2} = 0 + 1

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

36 x^{2} = 1

Divide both sides

\frac{36 x ^{2}}{36} = \frac{1}{36}

Divide the numbers

x^{2} = \frac{1}{36}

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

x = \pm \frac{1}{36}

Simplify the expression

More Steps

x = \pm \frac{1}{6}

Separate the equation into 2 possible cases

x = \frac{1}{6} x = - \frac{1}{6}

Solution

x_{1} = - \frac{1}{6}, x_{2} = \frac{1}{6}

Alternative Form

x_{1} = - 0.1 \dot{6}, x_{2} = 0.1 \dot{6}

Factor the expression