Solve 25x^2 - 1 - ScanMath

Evaluate

25 x^{2} - 1

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

25 x^{2} - 1 = 0

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

25 x^{2} = 0 + 1

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

25 x^{2} = 1

Divide both sides

\frac{25 x ^{2}}{25} = \frac{1}{25}

Divide the numbers

x^{2} = \frac{1}{25}

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

x = \pm \frac{1}{25}

Simplify the expression

More Steps

x = \pm \frac{1}{5}

Separate the equation into 2 possible cases

x = \frac{1}{5} x = - \frac{1}{5}

Solution

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

Alternative Form

x_{1} = - 0.2, x_{2} = 0.2

Factor the expression