Solve (10 x)^2-(8)^2=x^2

Evaluate

(10 x)^{2} - 8^{2} = x^{2}

Subtract the terms

More Steps

100 x^{2} - 64 = x^{2}

Add or subtract both sides

99 x^{2} = 64

Divide both sides

\frac{99 x ^{2}}{99} = \frac{64}{99}

Divide the numbers

x^{2} = \frac{64}{99}

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

x = \pm \frac{64}{99}

Simplify the expression

x = \pm \frac{8 11}{33}

Separate the equation into 2 possible cases

x = \frac{8 11}{33} x = - \frac{8 11}{33}

Solution

x_{1} = - \frac{8 11}{33}, x_{2} = \frac{8 11}{33}

Alternative Form

x_{1} \approx - 0.80403, x_{2} \approx 0.80403

Solve the quadratic equation