(2/3)a=5.9

Solution for (2/3)a=5.9 equation:

(2/3)a=5.9

We move all terms to the left:

(2/3)a-(5.9)=0


Domain of the equation: 3)a!=0

a!=0/1

a!=0

a∈R


We add all the numbers together, and all the variables

(+2/3)a-(5.9)=0

We add all the numbers together, and all the variables

(+2/3)a-5.9=0

We multiply parentheses

2a^2-5.9=0

a = 2; b = 0; c = -5.9;
Δ = b2-4ac
Δ = 02-4·2·(-5.9)
Δ = 47.2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{47.2}}{2*2}=\frac{0-\sqrt{47.2}}{4}
=-\frac{\sqrt{}}{4}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{47.2}}{2*2}=\frac{0+\sqrt{47.2}}{4}
=\frac{\sqrt{}}{4}
$