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

Evaluate

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

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

Simplify the expression

x = \frac{6 \pm ( - 6 ) ^{2} - 4 \times 5 ( - 2 )}{10}

Simplify the expression

More Steps

x = \frac{6 \pm 76}{10}

Simplify the radical expression

More Steps

x = \frac{6 \pm 2 19}{10}

Separate the equation into 2 possible cases

x = \frac{6 + 2 19}{10} x = \frac{6 - 2 19}{10}

Simplify the expression

More Steps

x = \frac{3 + 19}{5} x = \frac{6 - 2 19}{10}

Simplify the expression

More Steps

x = \frac{3 + 19}{5} x = \frac{3 - 19}{5}

Solution

x_{1} = \frac{3 - 19}{5}, x_{2} = \frac{3 + 19}{5}

Alternative Form

x_{1} \approx - 0.27178, x_{2} \approx 1.47178

Solve the quadratic equation