Solve 2x^2+6 - ScanMath

Evaluate

2 x^{2} + 6

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

2 x^{2} + 6 = 0

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

2 x^{2} = 0 - 6

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

2 x^{2} = - 6

Divide both sides

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

Divide the numbers

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

Divide the numbers

More Steps

x^{2} = - 3

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

x = \pm - 3

Simplify the expression

More Steps

x = \pm (3 \times i)

Separate the equation into 2 possible cases

x = 3 \times i x = - 3 \times i

Solution

x_{1} = - 3 \times i, x_{2} = 3 \times i

Alternative Form

x_{1} \approx - 1.732051 i, x_{2} \approx 1.732051 i

2x^2+6