k^2=64/100

Solution for k^2=64/100 equation:

k^2=64/100

We move all terms to the left:

k^2-(64/100)=0

We add all the numbers together, and all the variables

k^2-(+64/100)=0

We get rid of parentheses

k^2-64/100=0

We multiply all the terms by the denominator


k^2*100-64=0

Wy multiply elements

100k^2-64=0

a = 100; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·100·(-64)
Δ = 25600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25600}=160$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-160}{2*100}=\frac{-160}{200}
=-4/5
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+160}{2*100}=\frac{160}{200}
=4/5
$