Solve x^2 2(9/4)^2-9=0

Evaluate

x^{2} \times 2 (\frac{9}{4})^{2} - 9 = 0

Multiply the terms

More Steps

\frac{81}{8} x^{2} - 9 = 0

Add or subtract both sides

\frac{81}{8} x^{2} = 9

Divide both sides

\frac{\frac{81}{8} x ^{2}}{\frac{81}{8}} = \frac{9}{\frac{81}{8}}

Divide the numbers

x^{2} = \frac{8}{9}

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

x = \pm \frac{8}{9}

Simplify the expression

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

Separate the equation into 2 possible cases

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

Solution

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

Alternative Form

x_{1} \approx - 0.942809, x_{2} \approx 0.942809

Solve the quadratic equation