x2=25/265

Solution for x2=25/265 equation:

x2=25/265

We move all terms to the left:

x2-(25/265)=0

We add all the numbers together, and all the variables

x2-(+25/265)=0

We add all the numbers together, and all the variables

x^2-(+25/265)=0

We get rid of parentheses

x^2-25/265=0

We multiply all the terms by the denominator


x^2*265-25=0

Wy multiply elements

265x^2-25=0

a = 265; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·265·(-25)
Δ = 26500
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:

$\sqrt{\Delta}=\sqrt{26500}=\sqrt{100*265}=\sqrt{100}*\sqrt{265}=10\sqrt{265}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{265}}{2*265}=\frac{0-10\sqrt{265}}{530}
=-\frac{10\sqrt{265}}{530}
=-\frac{\sqrt{265}}{53}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{265}}{2*265}=\frac{0+10\sqrt{265}}{530}
=\frac{10\sqrt{265}}{530}
=\frac{\sqrt{265}}{53}
$