x2=16/169

Solution for x2=16/169 equation:

x2=16/169

We move all terms to the left:

x2-(16/169)=0

We add all the numbers together, and all the variables

x2-(+16/169)=0

We add all the numbers together, and all the variables

x^2-(+16/169)=0

We get rid of parentheses

x^2-16/169=0

We multiply all the terms by the denominator


x^2*169-16=0

Wy multiply elements

169x^2-16=0

a = 169; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·169·(-16)
Δ = 10816
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10816}=104$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-104}{2*169}=\frac{-104}{338}
=-4/13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+104}{2*169}=\frac{104}{338}
=4/13
$