Solve (x 8)^2 - 7 = 0

Evaluate

(x \times 8)^{2} - 7 = 0

Simplify

More Steps

64 x^{2} - 7 = 0

Add or subtract both sides

64 x^{2} = 7

Divide both sides

\frac{64 x ^{2}}{64} = \frac{7}{64}

Divide the numbers

x^{2} = \frac{7}{64}

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

x = \pm \frac{7}{64}

Simplify the expression

x = \pm \frac{7}{8}

Separate the equation into 2 possible cases

x = \frac{7}{8} x = - \frac{7}{8}

Solution

x_{1} = - \frac{7}{8}, x_{2} = \frac{7}{8}

Alternative Form

x_{1} \approx - 0.330719, x_{2} \approx 0.330719

Solve the quadratic equation