x2/x+100=50

Solution for x2/x+100=50 equation:

x2/x+100=50

We move all terms to the left:

x2/x+100-(50)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

x2/x+50=0

We multiply all the terms by the denominator


x2+50*x=0

We add all the numbers together, and all the variables

x^2+50x=0

a = 1; b = 50; c = 0;
Δ = b2-4ac
Δ = 502-4·1·0
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-50}{2*1}=\frac{-100}{2}
=-50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+50}{2*1}=\frac{0}{2}
=0
$