Solve 1/2 x^2 - 2

Evaluate

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

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

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

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

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

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

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

Multiply by the reciprocal

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

Multiply

x^{2} = 2 \times 2

Multiply

x^{2} = 4

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

x = \pm 4

Simplify the expression

More Steps

x = \pm 2

Separate the equation into 2 possible cases

x = 2 x = - 2

Solution

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

Factor the expression