(2/5)X-1x=20

Solution for (2/5)X-1x=20 equation:

(2/5)X-1X=20

We move all terms to the left:

(2/5)X-1X-(20)=0


Domain of the equation: 5)X!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

(+2/5)X-1X-20=0

We add all the numbers together, and all the variables

-1X+(+2/5)X-20=0

We multiply parentheses

2X^2-1X-20=0

a = 2; b = -1; c = -20;
Δ = b2-4ac
Δ = -12-4·2·(-20)
Δ = 161
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{-(-1)-\sqrt{161}}{2*2}=\frac{1-\sqrt{161}}{4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{161}}{2*2}=\frac{1+\sqrt{161}}{4}
$