(3/11)a-a=4

Solution for (3/11)a-a=4 equation:

(3/11)a-a=4

We move all terms to the left:

(3/11)a-a-(4)=0


Domain of the equation: 11)a!=0

a!=0/1

a!=0

a∈R


We add all the numbers together, and all the variables

(+3/11)a-a-4=0

We add all the numbers together, and all the variables

-1a+(+3/11)a-4=0

We multiply parentheses

3a^2-1a-4=0

a = 3; b = -1; c = -4;
Δ = b2-4ac
Δ = -12-4·3·(-4)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-7}{2*3}=\frac{-6}{6}
=-1
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+7}{2*3}=\frac{8}{6}
=1+1/3
$