(96.2/22)*x=60

Solution for (96.2/22)*x=60 equation:

(96.2/22)*x=60

We move all terms to the left:

(96.2/22)*x-(60)=0


Domain of the equation: 22)*x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+96.2/22)*x-60=0

We multiply parentheses

96x^2-60=0

a = 96; b = 0; c = -60;
Δ = b2-4ac
Δ = 02-4·96·(-60)
Δ = 23040
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:

$\sqrt{\Delta}=\sqrt{23040}=\sqrt{2304*10}=\sqrt{2304}*\sqrt{10}=48\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{10}}{2*96}=\frac{0-48\sqrt{10}}{192}
=-\frac{48\sqrt{10}}{192}
=-\frac{\sqrt{10}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{10}}{2*96}=\frac{0+48\sqrt{10}}{192}
=\frac{48\sqrt{10}}{192}
=\frac{\sqrt{10}}{4}
$