x2=49/361

Solution for x2=49/361 equation:

x2=49/361

We move all terms to the left:

x2-(49/361)=0

We add all the numbers together, and all the variables

x2-(+49/361)=0

We add all the numbers together, and all the variables

x^2-(+49/361)=0

We get rid of parentheses

x^2-49/361=0

We multiply all the terms by the denominator


x^2*361-49=0

Wy multiply elements

361x^2-49=0

a = 361; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·361·(-49)
Δ = 70756
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{70756}=266$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-266}{2*361}=\frac{-266}{722}
=-7/19
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+266}{2*361}=\frac{266}{722}
=7/19
$