8000/4x2=11

Solution for 8000/4x2=11 equation:

8000/4x^2=11

We move all terms to the left:

8000/4x^2-(11)=0


Domain of the equation: 4x^2!=0

x^2!=0/4

x^2!=√0

x!=0

x∈R


We multiply all the terms by the denominator


-11*4x^2+8000=0

Wy multiply elements

-44x^2+8000=0

a = -44; b = 0; c = +8000;
Δ = b2-4ac
Δ = 02-4·(-44)·8000
Δ = 1408000
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:

$\sqrt{\Delta}=\sqrt{1408000}=\sqrt{25600*55}=\sqrt{25600}*\sqrt{55}=160\sqrt{55}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-160\sqrt{55}}{2*-44}=\frac{0-160\sqrt{55}}{-88}
=-\frac{160\sqrt{55}}{-88}
=-\frac{20\sqrt{55}}{-11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+160\sqrt{55}}{2*-44}=\frac{0+160\sqrt{55}}{-88}
=\frac{160\sqrt{55}}{-88}
=\frac{20\sqrt{55}}{-11}
$