Solve s^2 - 200s - 400

Question

Find the roots

s_{1} = 100 - 2026, s_{2} = 100 + 2026

Alternative Form

s_{1} \approx - 1.98039, s_{2} \approx 201.98039

Evaluate

s^{2} - 200 s - 400

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

s^{2} - 200 s - 400 = 0

Substitute a= 1,b= - 200 and c= - 400 into the quadratic formula s = \frac{- b \pm b ^{2} - 4 a c}{2 a}

s = \frac{200 \pm ( - 200 ) ^{2} - 4 ( - 400 )}{2}

Simplify the expression

More Steps

s = \frac{200 \pm 41600}{2}

Simplify the radical expression

More Steps

s = \frac{200 \pm 40 26}{2}

Separate the equation into 2 possible cases

s = \frac{200 + 40 26}{2} s = \frac{200 - 40 26}{2}

Simplify the expression

More Steps

s = 100 + 2026 s = \frac{200 - 40 26}{2}

Simplify the expression

More Steps

s = 100 + 2026 s = 100 - 2026

Solution

s_{1} = 100 - 2026, s_{2} = 100 + 2026

Alternative Form

s_{1} \approx - 1.98039, s_{2} \approx 201.98039

Show Solution