(5/6)x+3x=4

Solution for (5/6)x+3x=4 equation:

(5/6)x+3x=4

We move all terms to the left:

(5/6)x+3x-(4)=0


Domain of the equation: 6)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+5/6)x+3x-4=0

We add all the numbers together, and all the variables

3x+(+5/6)x-4=0

We multiply parentheses

5x^2+3x-4=0

a = 5; b = 3; c = -4;
Δ = b2-4ac
Δ = 32-4·5·(-4)
Δ = 89
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{-(3)-\sqrt{89}}{2*5}=\frac{-3-\sqrt{89}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{89}}{2*5}=\frac{-3+\sqrt{89}}{10}
$