Solve 3x^2-9x-571

Evaluate

3 x^{2} - 9 x - 571

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

3 x^{2} - 9 x - 571 = 0

Substitute a= 3,b= - 9 and c= - 571 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{9 \pm ( - 9 ) ^{2} - 4 \times 3 ( - 571 )}{2 \times 3}

Simplify the expression

x = \frac{9 \pm ( - 9 ) ^{2} - 4 \times 3 ( - 571 )}{6}

Simplify the expression

More Steps

x = \frac{9 \pm 6933}{6}

Separate the equation into 2 possible cases

x = \frac{9 + 6933}{6} x = \frac{9 - 6933}{6}

Solution

x_{1} = \frac{9 - 6933}{6}, x_{2} = \frac{9 + 6933}{6}

Alternative Form

x_{1} \approx - 12.37744, x_{2} \approx 15.37744

Find the roots