Solve 25x^2 - 11 - ScanMath

Evaluate

25 x^{2} - 11

To find the roots of the expression,set the expression equal to 0

25 x^{2} - 11 = 0

Move the constant to the right-hand side and change its sign

25 x^{2} = 0 + 11

Removing 0 doesn't change the value,so remove it from the expression

25 x^{2} = 11

Divide both sides

\frac{25 x ^{2}}{25} = \frac{11}{25}

Divide the numbers

x^{2} = \frac{11}{25}

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

x = \pm \frac{11}{25}

Simplify the expression

More Steps

x = \pm \frac{11}{5}

Separate the equation into 2 possible cases

x = \frac{11}{5} x = - \frac{11}{5}

Solution

x_{1} = - \frac{11}{5}, x_{2} = \frac{11}{5}

Alternative Form

x_{1} \approx - 0.663325, x_{2} \approx 0.663325

Find the roots