a^2=100/361

Solution for a^2=100/361 equation:

a^2=100/361

We move all terms to the left:

a^2-(100/361)=0

We add all the numbers together, and all the variables

a^2-(+100/361)=0

We get rid of parentheses

a^2-100/361=0

We multiply all the terms by the denominator


a^2*361-100=0

Wy multiply elements

361a^2-100=0

a = 361; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·361·(-100)
Δ = 144400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144400}=380$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-380}{2*361}=\frac{-380}{722}
=-10/19
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+380}{2*361}=\frac{380}{722}
=10/19
$