x2=9/265

Solution for x2=9/265 equation:

x2=9/265

We move all terms to the left:

x2-(9/265)=0

We add all the numbers together, and all the variables

x2-(+9/265)=0

We add all the numbers together, and all the variables

x^2-(+9/265)=0

We get rid of parentheses

x^2-9/265=0

We multiply all the terms by the denominator


x^2*265-9=0

Wy multiply elements

265x^2-9=0

a = 265; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·265·(-9)
Δ = 9540
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:

$\sqrt{\Delta}=\sqrt{9540}=\sqrt{36*265}=\sqrt{36}*\sqrt{265}=6\sqrt{265}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{265}}{2*265}=\frac{0-6\sqrt{265}}{530}
=-\frac{6\sqrt{265}}{530}
=-\frac{3\sqrt{265}}{265}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{265}}{2*265}=\frac{0+6\sqrt{265}}{530}
=\frac{6\sqrt{265}}{530}
=\frac{3\sqrt{265}}{265}
$