Solve (x^2-5)3/2=8

Evaluate

(x^{2} - 5) \times \frac{3}{2} = 8

Multiply the terms

More Steps

\frac{3}{2} x^{2} - \frac{15}{2} = 8

Add or subtract both sides

\frac{3}{2} x^{2} = \frac{31}{2}

Divide both sides

\frac{\frac{3}{2} x ^{2}}{\frac{3}{2}} = \frac{\frac{31}{2}}{\frac{3}{2}}

Divide the numbers

x^{2} = \frac{31}{3}

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

x = \pm \frac{31}{3}

Simplify the expression

x = \pm \frac{93}{3}

Separate the equation into 2 possible cases

x = \frac{93}{3} x = - \frac{93}{3}

Solution

x_{1} = - \frac{93}{3}, x_{2} = \frac{93}{3}

Alternative Form

x_{1} \approx - 3.21455, x_{2} \approx 3.21455

Solve the quadratic equation