Solve 3w^2 -7w-2= 0

Evaluate

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

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

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

Simplify the expression

w = \frac{7 \pm ( - 7 ) ^{2} - 4 \times 3 ( - 2 )}{6}

Simplify the expression

More Steps

w = \frac{7 \pm 73}{6}

Separate the equation into 2 possible cases

w = \frac{7 + 73}{6} w = \frac{7 - 73}{6}

Solution

w_{1} = \frac{7 - 73}{6}, w_{2} = \frac{7 + 73}{6}

Alternative Form

w_{1} \approx - 0.257334, w_{2} \approx 2.590667

Solve the quadratic equation