Solve 3x^2+6x-5=0

Evaluate

3 x^{2} + 6 x - 5 = 0

Substitute a= 3,b= 6 and c= - 5 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 6 \pm 6 ^{2} - 4 \times 3 ( - 5 )}{2 \times 3}

Simplify the expression

x = \frac{- 6 \pm 6 ^{2} - 4 \times 3 ( - 5 )}{6}

Simplify the expression

More Steps

x = \frac{- 6 \pm 96}{6}

Simplify the radical expression

More Steps

x = \frac{- 6 \pm 4 6}{6}

Separate the equation into 2 possible cases

x = \frac{- 6 + 4 6}{6} x = \frac{- 6 - 4 6}{6}

Simplify the expression

More Steps

x = \frac{- 3 + 2 6}{3} x = \frac{- 6 - 4 6}{6}

Simplify the expression

More Steps

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

Solution

x_{1} = - \frac{3 + 2 6}{3}, x_{2} = \frac{- 3 + 2 6}{3}

Alternative Form

x_{1} \approx - 2.632993, x_{2} \approx 0.632993

Solve the quadratic equation