x2=9/635

Solution for x2=9/635 equation:

x2=9/635

We move all terms to the left:

x2-(9/635)=0

We add all the numbers together, and all the variables

x2-(+9/635)=0

We add all the numbers together, and all the variables

x^2-(+9/635)=0

We get rid of parentheses

x^2-9/635=0

We multiply all the terms by the denominator


x^2*635-9=0

Wy multiply elements

635x^2-9=0

a = 635; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·635·(-9)
Δ = 22860
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{22860}=\sqrt{36*635}=\sqrt{36}*\sqrt{635}=6\sqrt{635}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{635}}{2*635}=\frac{0-6\sqrt{635}}{1270}
=-\frac{6\sqrt{635}}{1270}
=-\frac{3\sqrt{635}}{635}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{635}}{2*635}=\frac{0+6\sqrt{635}}{1270}
=\frac{6\sqrt{635}}{1270}
=\frac{3\sqrt{635}}{635}
$