Solve 3n^2 -5n -352

Evaluate

3 n^{2} - 5 n - 352

To find the roots of the expression,set the expression equal to 0

3 n^{2} - 5 n - 352 = 0

Substitute a= 3,b= - 5 and c= - 352 into the quadratic formula n = \frac{- b \pm b ^{2} - 4 a c}{2 a}

n = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 3 ( - 352 )}{2 \times 3}

Simplify the expression

n = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 3 ( - 352 )}{6}

Simplify the expression

More Steps

n = \frac{5 \pm 4249}{6}

Separate the equation into 2 possible cases

n = \frac{5 + 4249}{6} n = \frac{5 - 4249}{6}

Solution

n_{1} = \frac{5 - 4249}{6}, n_{2} = \frac{5 + 4249}{6}

Alternative Form

n_{1} \approx - 10.030726, n_{2} \approx 11.697392

3n^2 5n 352