x2=169/25

Solution for x2=169/25 equation:

x2=169/25

We move all terms to the left:

x2-(169/25)=0

We add all the numbers together, and all the variables

x2-(+169/25)=0

We add all the numbers together, and all the variables

x^2-(+169/25)=0

We get rid of parentheses

x^2-169/25=0

We multiply all the terms by the denominator


x^2*25-169=0

Wy multiply elements

25x^2-169=0

a = 25; b = 0; c = -169;
Δ = b2-4ac
Δ = 02-4·25·(-169)
Δ = 16900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16900}=130$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-130}{2*25}=\frac{-130}{50}
=-2+3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+130}{2*25}=\frac{130}{50}
=2+3/5
$