X^2/x-16=100

Solution for X^2/x-16=100 equation:

X^2/X-16=100

We move all terms to the left:

X^2/X-16-(100)=0


Domain of the equation: X!=0

X∈R


We add all the numbers together, and all the variables

X^2/X-116=0

We multiply all the terms by the denominator


X^2-116*X=0

We add all the numbers together, and all the variables

X^2-116X=0

a = 1; b = -116; c = 0;
Δ = b2-4ac
Δ = -1162-4·1·0
Δ = 13456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13456}=116$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-116)-116}{2*1}=\frac{0}{2}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-116)+116}{2*1}=\frac{232}{2}
=116
$