Solve 2n^2 - n - 63 = 0

Evaluate

2 n^{2} - n - 63 = 0

Substitute a= 2,b= - 1 and c= - 63 into the quadratic formula n = \frac{- b \pm b ^{2} - 4 a c}{2 a}

n = \frac{1 \pm ( - 1 ) ^{2} - 4 \times 2 ( - 63 )}{2 \times 2}

Simplify the expression

n = \frac{1 \pm ( - 1 ) ^{2} - 4 \times 2 ( - 63 )}{4}

Simplify the expression

More Steps

n = \frac{1 \pm 505}{4}

Separate the equation into 2 possible cases

n = \frac{1 + 505}{4} n = \frac{1 - 505}{4}

Solution

n_{1} = \frac{1 - 505}{4}, n_{2} = \frac{1 + 505}{4}

Alternative Form

n_{1} \approx - 5.368051, n_{2} \approx 5.868051

Solve the quadratic equation