a(4.6)a=8.1

Solution for a(4.6)a=8.1 equation:

a(4.6)a=8.1

We move all terms to the left:

a(4.6)a-(8.1)=0

We add all the numbers together, and all the variables

a(4.6)a-8.1=0

We multiply parentheses

4.6a^2-8.1=0

a = 4.6; b = 0; c = -8.1;
Δ = b2-4ac
Δ = 02-4·4.6·(-8.1)
Δ = 149.04
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{149.04}}{2*4.6}=\frac{0-\sqrt{149.04}}{9.2}
=-\frac{\sqrt{}}{9.2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{149.04}}{2*4.6}=\frac{0+\sqrt{149.04}}{9.2}
=\frac{\sqrt{}}{9.2}
$