-4x=(11/5)

Solution for -4x=(11/5) equation:

-4x=(11/5)

We move all terms to the left:

-4x-((11/5))=0

We add all the numbers together, and all the variables

-4x-((+11/5))=0

We multiply all the terms by the denominator


-4x*5))-((+11=0

Wy multiply elements

-20x^2+11=0

a = -20; b = 0; c = +11;
Δ = b2-4ac
Δ = 02-4·(-20)·11
Δ = 880
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:

$\sqrt{\Delta}=\sqrt{880}=\sqrt{16*55}=\sqrt{16}*\sqrt{55}=4\sqrt{55}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{55}}{2*-20}=\frac{0-4\sqrt{55}}{-40}
=-\frac{4\sqrt{55}}{-40}
=-\frac{\sqrt{55}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{55}}{2*-20}=\frac{0+4\sqrt{55}}{-40}
=\frac{4\sqrt{55}}{-40}
=\frac{\sqrt{55}}{-10}
$