Solve 7x^2+2x-2=0

Evaluate

7 x^{2} + 2 x - 2 = 0

Substitute a= 7,b= 2 and c= - 2 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 2 \pm 2 ^{2} - 4 \times 7 ( - 2 )}{2 \times 7}

Simplify the expression

x = \frac{- 2 \pm 2 ^{2} - 4 \times 7 ( - 2 )}{14}

Simplify the expression

More Steps

x = \frac{- 2 \pm 60}{14}

Simplify the radical expression

More Steps

x = \frac{- 2 \pm 2 15}{14}

Separate the equation into 2 possible cases

x = \frac{- 2 + 2 15}{14} x = \frac{- 2 - 2 15}{14}

Simplify the expression

More Steps

x = \frac{- 1 + 15}{7} x = \frac{- 2 - 2 15}{14}

Simplify the expression

More Steps

x = \frac{- 1 + 15}{7} x = - \frac{1 + 15}{7}

Solution

x_{1} = - \frac{1 + 15}{7}, x_{2} = \frac{- 1 + 15}{7}

Alternative Form

x_{1} \approx - 0.69614, x_{2} \approx 0.410426

Solve the quadratic equation