Solve -3x^2 + 6x - 9

Evaluate

- 3 x^{2} + 6 x - 9

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

- 3 x^{2} + 6 x - 9 = 0

Multiply both sides

3 x^{2} - 6 x + 9 = 0

Substitute a= 3,b= - 6 and c= 9 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 3 \times 9}{2 \times 3}

Simplify the expression

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 3 \times 9}{6}

Simplify the expression

More Steps

x = \frac{6 \pm - 72}{6}

Simplify the radical expression

More Steps

x = \frac{6 \pm 6 2 \times i}{6}

Separate the equation into 2 possible cases

x = \frac{6 + 6 2 \times i}{6} x = \frac{6 - 6 2 \times i}{6}

Simplify the expression

More Steps

x = 1 + 2 \times i x = \frac{6 - 6 2 \times i}{6}

Simplify the expression

More Steps

x = 1 + 2 \times i x = 1 - 2 \times i

Solution

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

Alternative Form

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

3x^2 + 6x 9