x2=9/526

Solution for x2=9/526 equation:

x2=9/526

We move all terms to the left:

x2-(9/526)=0

We add all the numbers together, and all the variables

x2-(+9/526)=0

We add all the numbers together, and all the variables

x^2-(+9/526)=0

We get rid of parentheses

x^2-9/526=0

We multiply all the terms by the denominator


x^2*526-9=0

Wy multiply elements

526x^2-9=0

a = 526; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·526·(-9)
Δ = 18936
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:

$\sqrt{\Delta}=\sqrt{18936}=\sqrt{36*526}=\sqrt{36}*\sqrt{526}=6\sqrt{526}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{526}}{2*526}=\frac{0-6\sqrt{526}}{1052}
=-\frac{6\sqrt{526}}{1052}
=-\frac{3\sqrt{526}}{526}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{526}}{2*526}=\frac{0+6\sqrt{526}}{1052}
=\frac{6\sqrt{526}}{1052}
=\frac{3\sqrt{526}}{526}
$