Solve 4x^(2)-100 - ScanMath

Evaluate

4 x^{2} - 100

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

4 x^{2} - 100 = 0

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

4 x^{2} = 0 + 100

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

4 x^{2} = 100

Divide both sides

\frac{4 x ^{2}}{4} = \frac{100}{4}

Divide the numbers

x^{2} = \frac{100}{4}

Divide the numbers

More Steps

x^{2} = 25

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

x = \pm 25

Simplify the expression

More Steps

x = \pm 5

Separate the equation into 2 possible cases

x = 5 x = - 5

Solution

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

Factor the expression