Solve n(n-1) = 154

Evaluate

n (n - 1) = 154

Expand the expression

More Steps

n^{2} - n = 154

Move the expression to the left side

n^{2} - n - 154 = 0

Substitute a= 1,b= - 1 and c= - 154 into the quadratic formula n = \frac{- b \pm b ^{2} - 4 a c}{2 a}

n = \frac{1 \pm ( - 1 ) ^{2} - 4 ( - 154 )}{2}

Simplify the expression

More Steps

n = \frac{1 \pm 617}{2}

Separate the equation into 2 possible cases

n = \frac{1 + 617}{2} n = \frac{1 - 617}{2}

Solution

n_{1} = \frac{1 - 617}{2}, n_{2} = \frac{1 + 617}{2}

Alternative Form

n_{1} \approx - 11.919742, n_{2} \approx 12.919742

Solve the quadratic equation