Solve 4w^2-200 - ScanMath

Evaluate

4 w^{2} - 200

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

4 w^{2} - 200 = 0

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

4 w^{2} = 0 + 200

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

4 w^{2} = 200

Divide both sides

\frac{4 w ^{2}}{4} = \frac{200}{4}

Divide the numbers

w^{2} = \frac{200}{4}

Divide the numbers

More Steps

w^{2} = 50

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

w = \pm 50

Simplify the expression

More Steps

w = \pm 52

Separate the equation into 2 possible cases

w = 52 w = - 52

Solution

w_{1} = - 52, w_{2} = 52

Alternative Form

w_{1} \approx - 7.071068, w_{2} \approx 7.071068

Factor the expression