x^2=121/400

Solution for x^2=121/400 equation:

x^2=121/400

We move all terms to the left:

x^2-(121/400)=0

We add all the numbers together, and all the variables

x^2-(+121/400)=0

We get rid of parentheses

x^2-121/400=0

We multiply all the terms by the denominator


x^2*400-121=0

Wy multiply elements

400x^2-121=0

a = 400; b = 0; c = -121;
Δ = b2-4ac
Δ = 02-4·400·(-121)
Δ = 193600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{193600}=440$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-440}{2*400}=\frac{-440}{800}
=-11/20
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+440}{2*400}=\frac{440}{800}
=11/20
$