x2=361/100

Solution for x2=361/100 equation:

x2=361/100

We move all terms to the left:

x2-(361/100)=0

We add all the numbers together, and all the variables

x2-(+361/100)=0

We add all the numbers together, and all the variables

x^2-(+361/100)=0

We get rid of parentheses

x^2-361/100=0

We multiply all the terms by the denominator


x^2*100-361=0

Wy multiply elements

100x^2-361=0

a = 100; b = 0; c = -361;
Δ = b2-4ac
Δ = 02-4·100·(-361)
Δ = 144400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144400}=380$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-380}{2*100}=\frac{-380}{200}
=-1+9/10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+380}{2*100}=\frac{380}{200}
=1+9/10
$