Solve \left|9x^2\right|-8=-4

Evaluate

9 x^{2} - 8 = - 4

When the expression in absolute value bars is not negative, remove the bars

9 x^{2} - 8 = - 4

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

9 x^{2} = - 4 + 8

Add the numbers

9 x^{2} = 4

Divide both sides

\frac{9 x ^{2}}{9} = \frac{4}{9}

Divide the numbers

x^{2} = \frac{4}{9}

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

x = \pm \frac{4}{9}

Simplify the expression

More Steps

x = \pm \frac{2}{3}

Separate the equation into 2 possible cases

x = \frac{2}{3} x = - \frac{2}{3}

Solution

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

Alternative Form

x_{1} = - 0. \dot{6}, x_{2} = 0. \dot{6}

Solve the equation