(11/2)x=90

Solution for (11/2)x=90 equation:

(11/2)x=90

We move all terms to the left:

(11/2)x-(90)=0


Domain of the equation: 2)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+11/2)x-90=0

We multiply parentheses

11x^2-90=0

a = 11; b = 0; c = -90;
Δ = b2-4ac
Δ = 02-4·11·(-90)
Δ = 3960
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3960}=\sqrt{36*110}=\sqrt{36}*\sqrt{110}=6\sqrt{110}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{110}}{2*11}=\frac{0-6\sqrt{110}}{22}
=-\frac{6\sqrt{110}}{22}
=-\frac{3\sqrt{110}}{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{110}}{2*11}=\frac{0+6\sqrt{110}}{22}
=\frac{6\sqrt{110}}{22}
=\frac{3\sqrt{110}}{11}
$