90-x=(1/2x)

Solution for 90-x=(1/2x) equation:

90-x=(1/2x)

We move all terms to the left:

90-x-((1/2x))=0


Domain of the equation: 2x))!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-x-((+1/2x))+90=0

We add all the numbers together, and all the variables

-1x-((+1/2x))+90=0

We multiply all the terms by the denominator


-1x*2x))-((+90*2x))+1=0

Wy multiply elements

-2x^2+180x=0

a = -2; b = 180; c = 0;
Δ = b2-4ac
Δ = 1802-4·(-2)·0
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(180)-180}{2*-2}=\frac{-360}{-4}
=+90
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(180)+180}{2*-2}=\frac{0}{-4}
=0
$