Solve 3n^2 - 13n - 2800 = 0

Evaluate

3 n^{2} - 13 n - 2800 = 0

Substitute a= 3,b= - 13 and c= - 2800 into the quadratic formula n = \frac{- b \pm b ^{2} - 4 a c}{2 a}

n = \frac{13 \pm ( - 13 ) ^{2} - 4 \times 3 ( - 2800 )}{2 \times 3}

Simplify the expression

n = \frac{13 \pm ( - 13 ) ^{2} - 4 \times 3 ( - 2800 )}{6}

Simplify the expression

More Steps

n = \frac{13 \pm 33769}{6}

Separate the equation into 2 possible cases

n = \frac{13 + 33769}{6} n = \frac{13 - 33769}{6}

Solution

n_{1} = \frac{13 - 33769}{6}, n_{2} = \frac{13 + 33769}{6}

Alternative Form

n_{1} \approx - 28.460572, n_{2} \approx 32.793906

Solve the quadratic equation