y2=4/49

Solution for y2=4/49 equation:

y2=4/49

We move all terms to the left:

y2-(4/49)=0

We add all the numbers together, and all the variables

y2-(+4/49)=0

We add all the numbers together, and all the variables

y^2-(+4/49)=0

We get rid of parentheses

y^2-4/49=0

We multiply all the terms by the denominator


y^2*49-4=0

Wy multiply elements

49y^2-4=0

a = 49; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·49·(-4)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28}{2*49}=\frac{-28}{98}
=-2/7
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*49}=\frac{28}{98}
=2/7
$