Solve 2/7x^2 - x - 1/7 = 0

Evaluate

\frac{2}{7} x^{2} - x - \frac{1}{7} = 0

Multiply both sides

7 (\frac{2}{7} x^{2} - x - \frac{1}{7}) = 7 \times 0

Calculate

2 x^{2} - 7 x - 1 = 0

Substitute a= 2,b= - 7 and c= - 1 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 2 ( - 1 )}{2 \times 2}

Simplify the expression

x = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 2 ( - 1 )}{4}

Simplify the expression

More Steps

x = \frac{7 \pm 57}{4}

Separate the equation into 2 possible cases

x = \frac{7 + 57}{4} x = \frac{7 - 57}{4}

Solution

x_{1} = \frac{7 - 57}{4}, x_{2} = \frac{7 + 57}{4}

Alternative Form

x_{1} \approx - 0.137459, x_{2} \approx 3.637459

Solve the quadratic equation