Solve x^2+250x-75000

Question

Find the roots

x_{1} = - 125 - 25145, x_{2} = - 125 + 25145

Alternative Form

x_{1} \approx - 426.039864, x_{2} \approx 176.039864

Evaluate

x^{2} + 250 x - 75000

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

x^{2} + 250 x - 75000 = 0

Substitute a= 1,b= 250 and c= - 75000 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 250 \pm 25 0 ^{2} - 4 ( - 75000 )}{2}

Simplify the expression

More Steps

x = \frac{- 250 \pm 362500}{2}

Simplify the radical expression

More Steps

x = \frac{- 250 \pm 50 145}{2}

Separate the equation into 2 possible cases

x = \frac{- 250 + 50 145}{2} x = \frac{- 250 - 50 145}{2}

Simplify the expression

More Steps

x = - 125 + 25145 x = \frac{- 250 - 50 145}{2}

Simplify the expression

More Steps

x = - 125 + 25145 x = - 125 - 25145

Solution

x_{1} = - 125 - 25145, x_{2} = - 125 + 25145

Alternative Form

x_{1} \approx - 426.039864, x_{2} \approx 176.039864

Show Solution