x2=9/15

Solution for x2=9/15 equation:

x2=9/15

We move all terms to the left:

x2-(9/15)=0

We add all the numbers together, and all the variables

x2-(+9/15)=0

We add all the numbers together, and all the variables

x^2-(+9/15)=0

We get rid of parentheses

x^2-9/15=0

We multiply all the terms by the denominator


x^2*15-9=0

Wy multiply elements

15x^2-9=0

a = 15; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·15·(-9)
Δ = 540
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:

$\sqrt{\Delta}=\sqrt{540}=\sqrt{36*15}=\sqrt{36}*\sqrt{15}=6\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{15}}{2*15}=\frac{0-6\sqrt{15}}{30}
=-\frac{6\sqrt{15}}{30}
=-\frac{\sqrt{15}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{15}}{2*15}=\frac{0+6\sqrt{15}}{30}
=\frac{6\sqrt{15}}{30}
=\frac{\sqrt{15}}{5}
$