21462/x2=95

Solution for 21462/x2=95 equation:

21462/x2=95

We move all terms to the left:

21462/x2-(95)=0


Domain of the equation: x2!=0

x^2!=0/

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-95*x2+21462=0

We add all the numbers together, and all the variables

-95x^2+21462=0

a = -95; b = 0; c = +21462;
Δ = b2-4ac
Δ = 02-4·(-95)·21462
Δ = 8155560
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:

$\sqrt{\Delta}=\sqrt{8155560}=\sqrt{196*41610}=\sqrt{196}*\sqrt{41610}=14\sqrt{41610}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{41610}}{2*-95}=\frac{0-14\sqrt{41610}}{-190}
=-\frac{14\sqrt{41610}}{-190}
=-\frac{7\sqrt{41610}}{-95}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{41610}}{2*-95}=\frac{0+14\sqrt{41610}}{-190}
=\frac{14\sqrt{41610}}{-190}
=\frac{7\sqrt{41610}}{-95}
$