y^2=16/9+6.25

Solution for y^2=16/9+6.25 equation:

y^2=16/9+6.25

We move all terms to the left:

y^2-(16/9+6.25)=0

We get rid of parentheses

y^2-6.25-16/9=0

We multiply all the terms by the denominator


y^2*9-16-(6.25)*9=0

We add all the numbers together, and all the variables

y^2*9-72.25=0

Wy multiply elements

9y^2-72.25=0

a = 9; b = 0; c = -72.25;
Δ = b2-4ac
Δ = 02-4·9·(-72.25)
Δ = 2601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2601}=51$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-51}{2*9}=\frac{-51}{18}
=-2+5/6
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+51}{2*9}=\frac{51}{18}
=2+5/6
$