Solve 2x^2-162 - ScanMath

Evaluate

2 x^{2} - 162

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

2 x^{2} - 162 = 0

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

2 x^{2} = 0 + 162

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

2 x^{2} = 162

Divide both sides

\frac{2 x ^{2}}{2} = \frac{162}{2}

Divide the numbers

x^{2} = \frac{162}{2}

Divide the numbers

More Steps

x^{2} = 81

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

x = \pm 81

Simplify the expression

More Steps

x = \pm 9

Separate the equation into 2 possible cases

x = 9 x = - 9

Solution

x_{1} = - 9, x_{2} = 9

Factor the expression