4/11x=8x=

Solution for 4/11x=8x= equation:

4/11x=8x=

We move all terms to the left:

4/11x-(8x)=0


Domain of the equation: 11x!=0

x!=0/11

x!=0

x∈R


We add all the numbers together, and all the variables

-8x+4/11x=0

We multiply all the terms by the denominator


-8x*11x+4=0

Wy multiply elements

-88x^2+4=0

a = -88; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-88)·4
Δ = 1408
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:

$\sqrt{\Delta}=\sqrt{1408}=\sqrt{64*22}=\sqrt{64}*\sqrt{22}=8\sqrt{22}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{22}}{2*-88}=\frac{0-8\sqrt{22}}{-176}
=-\frac{8\sqrt{22}}{-176}
=-\frac{\sqrt{22}}{-22}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{22}}{2*-88}=\frac{0+8\sqrt{22}}{-176}
=\frac{8\sqrt{22}}{-176}
=\frac{\sqrt{22}}{-22}
$