(X/x^2)=170

Solution for (X/x^2)=170 equation:

(X/X^2)=170

We move all terms to the left:

(X/X^2)-(170)=0


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

X!=0/1

X!=0

X∈R


We get rid of parentheses

X/X^2-170=0

We multiply all the terms by the denominator


X-170*X^2=0

We add all the numbers together, and all the variables

-170X^2+X=0

a = -170; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-170)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-170}=\frac{-2}{-340}
=1/170
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-170}=\frac{0}{-340}
=0
$