(4/3)x+x=84

Solution for (4/3)x+x=84 equation:

(4/3)x+x=84

We move all terms to the left:

(4/3)x+x-(84)=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

(+4/3)x+x-84=0

We add all the numbers together, and all the variables

x+(+4/3)x-84=0

We multiply parentheses

4x^2+x-84=0

a = 4; b = 1; c = -84;
Δ = b2-4ac
Δ = 12-4·4·(-84)
Δ = 1345
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{1345}}{2*4}=\frac{-1-\sqrt{1345}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1345}}{2*4}=\frac{-1+\sqrt{1345}}{8}
$