Question

x2+250x-75000 solve quadratic equation

Answer 1

Hi

there is your answer buddy

Answer 2

The solution is $x=-125+25\sqrt{237500}i,-125-25\sqrt{237500}i$

Step-by-step explanation:

Given : Quadratic equation $x^2+250x-75000$

To find : Solve the quadratic equation ?

Solution :

Using quadratic formula of equation $ax^2+bx+c=0$ is

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Here, a=1, b=250 and c=-75000

Substitute the values,

$x=\frac{-250\pm\sqrt{(250)^2-4(1)(75000)}}{2(1)}$

$x=\frac{-250\pm\sqrt{62500-300000}}{2}$

$x=\frac{-250\pm\sqrt{-237500}}{2}$

$x=\frac{-250\pm50\sqrt{95}i}{2}$

$x=\frac{-2(125\pm25\sqrt{237500}i)}{2}$

$x=-125+25\sqrt{237500}i,-125-25\sqrt{237500}i$

Therefore, the solution is $x=-125+25\sqrt{237500}i,-125-25\sqrt{237500}i$

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