X-3/5x-20+11=0

Solution for X-3/5x-20+11=0 equation:

X-3/5X-20+11=0


Domain of the equation: 5X!=0

X!=0/5

X!=0

X∈R


We add all the numbers together, and all the variables

X-3/5X-9=0

We multiply all the terms by the denominator


X*5X-9*5X-3=0

Wy multiply elements

5X^2-45X-3=0

a = 5; b = -45; c = -3;
Δ = b2-4ac
Δ = -452-4·5·(-3)
Δ = 2085
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-\sqrt{2085}}{2*5}=\frac{45-\sqrt{2085}}{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+\sqrt{2085}}{2*5}=\frac{45+\sqrt{2085}}{10}
$