Solve 1/2x^2-12 - ScanMath

Evaluate

\frac{1}{2} x^{2} - 12

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

\frac{1}{2} x^{2} - 12 = 0

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

\frac{1}{2} x^{2} = 0 + 12

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

\frac{1}{2} x^{2} = 12

Multiply by the reciprocal

\frac{1}{2} x^{2} \times 2 = 12 \times 2

Multiply

x^{2} = 12 \times 2

Multiply

x^{2} = 24

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

x = \pm 24

Simplify the expression

More Steps

x = \pm 26

Separate the equation into 2 possible cases

x = 26 x = - 26

Solution

x_{1} = - 26, x_{2} = 26

Alternative Form

x_{1} \approx - 4.898979, x_{2} \approx 4.898979

Factor the expression