x2=49/841

Solution for x2=49/841 equation:

x2=49/841

We move all terms to the left:

x2-(49/841)=0

We add all the numbers together, and all the variables

x2-(+49/841)=0

We add all the numbers together, and all the variables

x^2-(+49/841)=0

We get rid of parentheses

x^2-49/841=0

We multiply all the terms by the denominator


x^2*841-49=0

Wy multiply elements

841x^2-49=0

a = 841; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·841·(-49)
Δ = 164836
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{164836}=406$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-406}{2*841}=\frac{-406}{1682}
=-7/29
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+406}{2*841}=\frac{406}{1682}
=7/29
$