x^2=49/484

Solution for x^2=49/484 equation:

x^2=49/484

We move all terms to the left:

x^2-(49/484)=0

We add all the numbers together, and all the variables

x^2-(+49/484)=0

We get rid of parentheses

x^2-49/484=0

We multiply all the terms by the denominator


x^2*484-49=0

Wy multiply elements

484x^2-49=0

a = 484; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·484·(-49)
Δ = 94864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{94864}=308$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-308}{2*484}=\frac{-308}{968}
=-7/22
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+308}{2*484}=\frac{308}{968}
=7/22
$