x^2=36/21

Solution for x^2=36/21 equation:

x^2=36/21

We move all terms to the left:

x^2-(36/21)=0

We add all the numbers together, and all the variables

x^2-(+36/21)=0

We get rid of parentheses

x^2-36/21=0

We multiply all the terms by the denominator


x^2*21-36=0

Wy multiply elements

21x^2-36=0

a = 21; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·21·(-36)
Δ = 3024
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:

$\sqrt{\Delta}=\sqrt{3024}=\sqrt{144*21}=\sqrt{144}*\sqrt{21}=12\sqrt{21}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{21}}{2*21}=\frac{0-12\sqrt{21}}{42}
=-\frac{12\sqrt{21}}{42}
=-\frac{2\sqrt{21}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{21}}{2*21}=\frac{0+12\sqrt{21}}{42}
=\frac{12\sqrt{21}}{42}
=\frac{2\sqrt{21}}{7}
$