Solve 25q^2-5 - ScanMath

Evaluate

25 q^{2} - 5

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

25 q^{2} - 5 = 0

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

25 q^{2} = 0 + 5

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

25 q^{2} = 5

Divide both sides

\frac{25 q ^{2}}{25} = \frac{5}{25}

Divide the numbers

q^{2} = \frac{5}{25}

Cancel out the common factor 5

q^{2} = \frac{1}{5}

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

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

Simplify the expression

More Steps

q = \pm \frac{5}{5}

Separate the equation into 2 possible cases

q = \frac{5}{5} q = - \frac{5}{5}

Solution

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

Alternative Form

q_{1} \approx - 0.447214, q_{2} \approx 0.447214

Factor the expression