Solve s^2 - 250s - 12500

Question

Find the roots

s_{1} = 125 - 755, s_{2} = 125 + 755

Alternative Form

s_{1} \approx - 42.705098, s_{2} \approx 292.705098

Evaluate

s^{2} - 250 s - 12500

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

s^{2} - 250 s - 12500 = 0

Substitute a= 1,b= - 250 and c= - 12500 into the quadratic formula s = \frac{- b \pm b ^{2} - 4 a c}{2 a}

s = \frac{250 \pm ( - 250 ) ^{2} - 4 ( - 12500 )}{2}

Simplify the expression

More Steps

s = \frac{250 \pm 112500}{2}

Simplify the radical expression

More Steps

s = \frac{250 \pm 150 5}{2}

Separate the equation into 2 possible cases

s = \frac{250 + 150 5}{2} s = \frac{250 - 150 5}{2}

Simplify the expression

More Steps

s = 125 + 755 s = \frac{250 - 150 5}{2}

Simplify the expression

More Steps

s = 125 + 755 s = 125 - 755

Solution

s_{1} = 125 - 755, s_{2} = 125 + 755

Alternative Form

s_{1} \approx - 42.705098, s_{2} \approx 292.705098

Show Solution