x2=9/156

Solution for x2=9/156 equation:

x2=9/156

We move all terms to the left:

x2-(9/156)=0

We add all the numbers together, and all the variables

x2-(+9/156)=0

We add all the numbers together, and all the variables

x^2-(+9/156)=0

We get rid of parentheses

x^2-9/156=0

We multiply all the terms by the denominator


x^2*156-9=0

Wy multiply elements

156x^2-9=0

a = 156; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·156·(-9)
Δ = 5616
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:

$\sqrt{\Delta}=\sqrt{5616}=\sqrt{144*39}=\sqrt{144}*\sqrt{39}=12\sqrt{39}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{39}}{2*156}=\frac{0-12\sqrt{39}}{312}
=-\frac{12\sqrt{39}}{312}
=-\frac{\sqrt{39}}{26}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{39}}{2*156}=\frac{0+12\sqrt{39}}{312}
=\frac{12\sqrt{39}}{312}
=\frac{\sqrt{39}}{26}
$