Solve 9x^2-6x-2=0

Evaluate

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

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

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

Simplify the expression

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 9 ( - 2 )}{18}

Simplify the expression

More Steps

x = \frac{6 \pm 108}{18}

Simplify the radical expression

More Steps

x = \frac{6 \pm 6 3}{18}

Separate the equation into 2 possible cases

x = \frac{6 + 6 3}{18} x = \frac{6 - 6 3}{18}

Simplify the expression

More Steps

x = \frac{1 + 3}{3} x = \frac{6 - 6 3}{18}

Simplify the expression

More Steps

x = \frac{1 + 3}{3} x = \frac{1 - 3}{3}

Solution

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

Alternative Form

x_{1} \approx - 0.244017, x_{2} \approx 0.910684

Solve the quadratic equation