6s^2s=4/5

Solution for 6s^2s=4/5 equation:

6s^2s=4/5

We move all terms to the left:

6s^2s-(4/5)=0

We add all the numbers together, and all the variables

6s^2s-(+4/5)=0

We get rid of parentheses

6s^2s-4/5=0

We multiply all the terms by the denominator


6s^2s*5-4=0

Wy multiply elements

30s^2-4=0

a = 30; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·30·(-4)
Δ = 480
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{480}=\sqrt{16*30}=\sqrt{16}*\sqrt{30}=4\sqrt{30}$
$s_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{30}}{2*30}=\frac{0-4\sqrt{30}}{60}
=-\frac{4\sqrt{30}}{60}
=-\frac{\sqrt{30}}{15}
$
$s_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{30}}{2*30}=\frac{0+4\sqrt{30}}{60}
=\frac{4\sqrt{30}}{60}
=\frac{\sqrt{30}}{15}
$