Solve n^2 - n -10000

Evaluate

n^{2} - n - 10000

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

n^{2} - n - 10000 = 0

Substitute a= 1,b= - 1 and c= - 10000 into the quadratic formula n = \frac{- b \pm b ^{2} - 4 a c}{2 a}

n = \frac{1 \pm ( - 1 ) ^{2} - 4 ( - 10000 )}{2}

Simplify the expression

More Steps

n = \frac{1 \pm 40001}{2}

Separate the equation into 2 possible cases

n = \frac{1 + 40001}{2} n = \frac{1 - 40001}{2}

Solution

n_{1} = \frac{1 - 40001}{2}, n_{2} = \frac{1 + 40001}{2}

Alternative Form

n_{1} \approx - 99.50125, n_{2} \approx 100.50125

Find the roots