x^2=20/45

Solution for x^2=20/45 equation:

x^2=20/45

We move all terms to the left:

x^2-(20/45)=0

We add all the numbers together, and all the variables

x^2-(+20/45)=0

We get rid of parentheses

x^2-20/45=0

We multiply all the terms by the denominator


x^2*45-20=0

Wy multiply elements

45x^2-20=0

a = 45; b = 0; c = -20;
Δ = b2-4ac
Δ = 02-4·45·(-20)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*45}=\frac{-60}{90}
=-2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*45}=\frac{60}{90}
=2/3
$