Solve -1(3x^2 +11x -3)

Evaluate

- (3 x^{2} + 11 x - 3)

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

- (3 x^{2} + 11 x - 3) = 0

Multiply both sides

- (3 x^{2} + 11 x - 3) (- 1) = 0 \times (- 1)

Calculate

3 x^{2} + 11 x - 3 = 0

Substitute a= 3,b= 11 and c= - 3 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 11 \pm 1 1 ^{2} - 4 \times 3 ( - 3 )}{2 \times 3}

Simplify the expression

x = \frac{- 11 \pm 1 1 ^{2} - 4 \times 3 ( - 3 )}{6}

Simplify the expression

More Steps

x = \frac{- 11 \pm 157}{6}

Separate the equation into 2 possible cases

x = \frac{- 11 + 157}{6} x = \frac{- 11 - 157}{6}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = \frac{- 11 + 157}{6} x = - \frac{11 + 157}{6}

Solution

x_{1} = - \frac{11 + 157}{6}, x_{2} = \frac{- 11 + 157}{6}

Alternative Form

x_{1} \approx - 3.921661, x_{2} \approx 0.254994

1(3x^2 +11x 3)