Solve 7x^(2)-3x-2=0

Evaluate

7 x^{2} - 3 x - 2 = 0

Substitute a= 7,b= - 3 and c= - 2 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{3 \pm ( - 3 ) ^{2} - 4 \times 7 ( - 2 )}{2 \times 7}

Simplify the expression

x = \frac{3 \pm ( - 3 ) ^{2} - 4 \times 7 ( - 2 )}{14}

Simplify the expression

More Steps

x = \frac{3 \pm 65}{14}

Separate the equation into 2 possible cases

x = \frac{3 + 65}{14} x = \frac{3 - 65}{14}

Solution

x_{1} = \frac{3 - 65}{14}, x_{2} = \frac{3 + 65}{14}

Alternative Form

x_{1} \approx - 0.36159, x_{2} \approx 0.790161

Solve the quadratic equation