Solve (x 7)^2 - 11 = 0

Evaluate

(x \times 7)^{2} - 11 = 0

Simplify

More Steps

49 x^{2} - 11 = 0

Add or subtract both sides

49 x^{2} = 11

Divide both sides

\frac{49 x ^{2}}{49} = \frac{11}{49}

Divide the numbers

x^{2} = \frac{11}{49}

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

x = \pm \frac{11}{49}

Simplify the expression

x = \pm \frac{11}{7}

Separate the equation into 2 possible cases

x = \frac{11}{7} x = - \frac{11}{7}

Solution

x_{1} = - \frac{11}{7}, x_{2} = \frac{11}{7}

Alternative Form

x_{1} \approx - 0.473804, x_{2} \approx 0.473804

Solve the quadratic equation