b^2=36/169

Solution for b^2=36/169 equation:

b^2=36/169

We move all terms to the left:

b^2-(36/169)=0

We add all the numbers together, and all the variables

b^2-(+36/169)=0

We get rid of parentheses

b^2-36/169=0

We multiply all the terms by the denominator


b^2*169-36=0

Wy multiply elements

169b^2-36=0

a = 169; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·169·(-36)
Δ = 24336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24336}=156$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-156}{2*169}=\frac{-156}{338}
=-6/13
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+156}{2*169}=\frac{156}{338}
=6/13
$