Solve 6+3x^2 - ScanMath

Evaluate

6 + 3 x^{2}

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

6 + 3 x^{2} = 0

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

3 x^{2} = 0 - 6

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

3 x^{2} = - 6

Divide both sides

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

Divide the numbers

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

Divide the numbers

More Steps

x^{2} = - 2

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

x = \pm - 2

Simplify the expression

More Steps

x = \pm (2 \times i)

Separate the equation into 2 possible cases

x = 2 \times i x = - 2 \times i

Solution

x_{1} = - 2 \times i, x_{2} = 2 \times i

Alternative Form

x_{1} \approx - 1.414214 i, x_{2} \approx 1.414214 i

6+3x^2