5.5x+(2/3)x=37

Solution for 5.5x+(2/3)x=37 equation:

5.5x+(2/3)x=37

We move all terms to the left:

5.5x+(2/3)x-(37)=0


Domain of the equation: 3)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

5.5x+(+2/3)x-37=0

We multiply parentheses

2x^2+5.5x-37=0

a = 2; b = 5.5; c = -37;
Δ = b2-4ac
Δ = 5.52-4·2·(-37)
Δ = 326.25
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{-(5.5)-\sqrt{326.25}}{2*2}=\frac{-5.5-\sqrt{326.25}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5.5)+\sqrt{326.25}}{2*2}=\frac{-5.5+\sqrt{326.25}}{4}
$