Solve 3x^2-2 - ScanMath

Evaluate

3 x^{2} - 2

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

3 x^{2} - 2 = 0

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

3 x^{2} = 0 + 2

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

3 x^{2} = 2

Divide both sides

\frac{3 x ^{2}}{3} = \frac{2}{3}

Divide the numbers

x^{2} = \frac{2}{3}

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

x = \pm \frac{2}{3}

Simplify the expression

More Steps

x = \pm \frac{6}{3}

Separate the equation into 2 possible cases

x = \frac{6}{3} x = - \frac{6}{3}

Solution

x_{1} = - \frac{6}{3}, x_{2} = \frac{6}{3}

Alternative Form

x_{1} \approx - 0.816497, x_{2} \approx 0.816497

Find the roots