x-9700/x=3

Solution for x-9700/x=3 equation:

x-9700/x=3

We move all terms to the left:

x-9700/x-(3)=0


Domain of the equation: x!=0

x∈R


We multiply all the terms by the denominator


x*x-3*x-9700=0

We add all the numbers together, and all the variables

-3x+x*x-9700=0

Wy multiply elements

x^2-3x-9700=0

a = 1; b = -3; c = -9700;
Δ = b2-4ac
Δ = -32-4·1·(-9700)
Δ = 38809
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{38809}=197$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-197}{2*1}=\frac{-194}{2}
=-97
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+197}{2*1}=\frac{200}{2}
=100
$