Solve 6x^2-3 - ScanMath

Evaluate

6 x^{2} - 3

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

6 x^{2} - 3 = 0

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

6 x^{2} = 0 + 3

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

6 x^{2} = 3

Divide both sides

\frac{6 x ^{2}}{6} = \frac{3}{6}

Divide the numbers

x^{2} = \frac{3}{6}

Cancel out the common factor 3

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

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

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

Simplify the expression

More Steps

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

Separate the equation into 2 possible cases

x = \frac{2}{2} x = - \frac{2}{2}

Solution

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

Alternative Form

x_{1} \approx - 0.707107, x_{2} \approx 0.707107

6x^2 3