x2=64/169

Solution for x2=64/169 equation:

x2=64/169

We move all terms to the left:

x2-(64/169)=0

We add all the numbers together, and all the variables

x2-(+64/169)=0

We add all the numbers together, and all the variables

x^2-(+64/169)=0

We get rid of parentheses

x^2-64/169=0

We multiply all the terms by the denominator


x^2*169-64=0

Wy multiply elements

169x^2-64=0

a = 169; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·169·(-64)
Δ = 43264
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{43264}=208$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-208}{2*169}=\frac{-208}{338}
=-8/13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+208}{2*169}=\frac{208}{338}
=8/13
$