y^2=(156y)/(174)

Solution for y^2=(156y)/(174) equation:

y^2=(156y)/(174)

We move all terms to the left:

y^2-((156y)/(174))=0

We add all the numbers together, and all the variables

y^2-(+156y/174)=0

We get rid of parentheses

y^2-156y/174=0

We multiply all the terms by the denominator


y^2*174-156y=0

Wy multiply elements

174y^2-156y=0

a = 174; b = -156; c = 0;
Δ = b2-4ac
Δ = -1562-4·174·0
Δ = 24336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24336}=156$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-156)-156}{2*174}=\frac{0}{348}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-156)+156}{2*174}=\frac{312}{348}
=26/29
$