5(a^2)=0.64

Solution for 5(a^2)=0.64 equation:

5(a^2)=0.64

We move all terms to the left:

5(a^2)-(0.64)=0

We add all the numbers together, and all the variables

5a^2-0.64=0

a = 5; b = 0; c = -0.64;
Δ = b2-4ac
Δ = 02-4·5·(-0.64)
Δ = 12.8
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{12.8}}{2*5}=\frac{0-\sqrt{12.8}}{10}
=-\frac{\sqrt{}}{10}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{12.8}}{2*5}=\frac{0+\sqrt{12.8}}{10}
=\frac{\sqrt{}}{10}
$