x2=25/529

Solution for x2=25/529 equation:

x2=25/529

We move all terms to the left:

x2-(25/529)=0

We add all the numbers together, and all the variables

x2-(+25/529)=0

We add all the numbers together, and all the variables

x^2-(+25/529)=0

We get rid of parentheses

x^2-25/529=0

We multiply all the terms by the denominator


x^2*529-25=0

Wy multiply elements

529x^2-25=0

a = 529; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·529·(-25)
Δ = 52900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{52900}=230$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-230}{2*529}=\frac{-230}{1058}
=-5/23
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+230}{2*529}=\frac{230}{1058}
=5/23
$