3x^2=8/10

Solution for 3x^2=8/10 equation:

3x^2=8/10

We move all terms to the left:

3x^2-(8/10)=0

We add all the numbers together, and all the variables

3x^2-(+8/10)=0

We get rid of parentheses

3x^2-8/10=0

We multiply all the terms by the denominator


3x^2*10-8=0

Wy multiply elements

30x^2-8=0

a = 30; b = 0; c = -8;
Δ = b2-4ac
Δ = 02-4·30·(-8)
Δ = 960
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{960}=\sqrt{64*15}=\sqrt{64}*\sqrt{15}=8\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{15}}{2*30}=\frac{0-8\sqrt{15}}{60}
=-\frac{8\sqrt{15}}{60}
=-\frac{2\sqrt{15}}{15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{15}}{2*30}=\frac{0+8\sqrt{15}}{60}
=\frac{8\sqrt{15}}{60}
=\frac{2\sqrt{15}}{15}
$