Solve x^2-200x-7500

Question

Find the roots

x_{1} = 100 - 507, x_{2} = 100 + 507

Alternative Form

x_{1} \approx - 32.287566, x_{2} \approx 232.287566

Evaluate

x^{2} - 200 x - 7500

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

x^{2} - 200 x - 7500 = 0

Substitute a= 1,b= - 200 and c= - 7500 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{200 \pm ( - 200 ) ^{2} - 4 ( - 7500 )}{2}

Simplify the expression

More Steps

x = \frac{200 \pm 70000}{2}

Simplify the radical expression

More Steps

x = \frac{200 \pm 100 7}{2}

Separate the equation into 2 possible cases

x = \frac{200 + 100 7}{2} x = \frac{200 - 100 7}{2}

Simplify the expression

More Steps

x = 100 + 507 x = \frac{200 - 100 7}{2}

Simplify the expression

More Steps

x = 100 + 507 x = 100 - 507

Solution

x_{1} = 100 - 507, x_{2} = 100 + 507

Alternative Form

x_{1} \approx - 32.287566, x_{2} \approx 232.287566

Show Solution