((X^2)/x+2)-78125=0

Solution for ((X^2)/x+2)-78125=0 equation:

((X^2)/X+2)-78125=0


Domain of the equation: X+2)!=0

X∈R


We get rid of parentheses

X^2/X+2-78125=0

We multiply all the terms by the denominator


X^2+2*X-78125*X=0

We add all the numbers together, and all the variables

X^2-78123X=0

a = 1; b = -78123; c = 0;
Δ = b2-4ac
Δ = -781232-4·1·0
Δ = 6103203129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6103203129}=78123$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-78123)-78123}{2*1}=\frac{0}{2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-78123)+78123}{2*1}=\frac{156246}{2}
=78123
$