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

Evaluate

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

Substitute a= 6,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 6 ( - 5 )}{2 \times 6}

Simplify the expression

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 6 ( - 5 )}{12}

Simplify the expression

More Steps

x = \frac{6 \pm 156}{12}

Simplify the radical expression

More Steps

x = \frac{6 \pm 2 39}{12}

Separate the equation into 2 possible cases

x = \frac{6 + 2 39}{12} x = \frac{6 - 2 39}{12}

Simplify the expression

More Steps

x = \frac{3 + 39}{6} x = \frac{6 - 2 39}{12}

Simplify the expression

More Steps

x = \frac{3 + 39}{6} x = \frac{3 - 39}{6}

Solution

x_{1} = \frac{3 - 39}{6}, x_{2} = \frac{3 + 39}{6}

Alternative Form

x_{1} \approx - 0.540833, x_{2} \approx 1.540833

Solve the quadratic equation