(2+1/3)x=4.8

Solution for (2+1/3)x=4.8 equation:

(2+1/3)x=4.8

We move all terms to the left:

(2+1/3)x-(4.8)=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

(1/3+2)x-(4.8)=0

We add all the numbers together, and all the variables

(1/3+2)x-4.8=0

We multiply parentheses

x^2+2x-4.8=0

a = 1; b = 2; c = -4.8;
Δ = b2-4ac
Δ = 22-4·1·(-4.8)
Δ = 23.2
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{-(2)-\sqrt{23.2}}{2*1}=\frac{-2-\sqrt{23.2}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+\sqrt{23.2}}{2*1}=\frac{-2+\sqrt{23.2}}{2}
$