y2=22/49

Solution for y2=22/49 equation:

y2=22/49

We move all terms to the left:

y2-(22/49)=0

We add all the numbers together, and all the variables

y2-(+22/49)=0

We add all the numbers together, and all the variables

y^2-(+22/49)=0

We get rid of parentheses

y^2-22/49=0

We multiply all the terms by the denominator


y^2*49-22=0

Wy multiply elements

49y^2-22=0

a = 49; b = 0; c = -22;
Δ = b2-4ac
Δ = 02-4·49·(-22)
Δ = 4312
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{4312}=\sqrt{196*22}=\sqrt{196}*\sqrt{22}=14\sqrt{22}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14\sqrt{22}}{2*49}=\frac{0-14\sqrt{22}}{98}
=-\frac{14\sqrt{22}}{98}
=-\frac{\sqrt{22}}{7}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14\sqrt{22}}{2*49}=\frac{0+14\sqrt{22}}{98}
=\frac{14\sqrt{22}}{98}
=\frac{\sqrt{22}}{7}
$