x2=9/246

Solution for x2=9/246 equation:

x2=9/246

We move all terms to the left:

x2-(9/246)=0

We add all the numbers together, and all the variables

x2-(+9/246)=0

We add all the numbers together, and all the variables

x^2-(+9/246)=0

We get rid of parentheses

x^2-9/246=0

We multiply all the terms by the denominator


x^2*246-9=0

Wy multiply elements

246x^2-9=0

a = 246; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·246·(-9)
Δ = 8856
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:

$\sqrt{\Delta}=\sqrt{8856}=\sqrt{36*246}=\sqrt{36}*\sqrt{246}=6\sqrt{246}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{246}}{2*246}=\frac{0-6\sqrt{246}}{492}
=-\frac{6\sqrt{246}}{492}
=-\frac{\sqrt{246}}{82}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{246}}{2*246}=\frac{0+6\sqrt{246}}{492}
=\frac{6\sqrt{246}}{492}
=\frac{\sqrt{246}}{82}
$