x2=100/9

Solution for x2=100/9 equation:

x2=100/9

We move all terms to the left:

x2-(100/9)=0

We add all the numbers together, and all the variables

x2-(+100/9)=0

We add all the numbers together, and all the variables

x^2-(+100/9)=0

We get rid of parentheses

x^2-100/9=0

We multiply all the terms by the denominator


x^2*9-100=0

Wy multiply elements

9x^2-100=0

a = 9; b = 0; c = -100;
Δ = b2-4ac
Δ = 02-4·9·(-100)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*9}=\frac{-60}{18}
=-3+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*9}=\frac{60}{18}
=3+1/3
$