(5/3)*y=3.33333

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Solution for (5/3)*y=3.33333 equation:



(5/3)*y=3.33333
We move all terms to the left:
(5/3)*y-(3.33333)=0
Domain of the equation: 3)*y!=0
y!=0/1
y!=0
y∈R
We add all the numbers together, and all the variables
(+5/3)*y-(3.33333)=0
We add all the numbers together, and all the variables
(+5/3)*y-3.33333=0
We multiply parentheses
5y^2-3.33333=0
a = 5; b = 0; c = -3.33333;
Δ = b2-4ac
Δ = 02-4·5·(-3.33333)
Δ = 66.6666
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{66.6666}}{2*5}=\frac{0-\sqrt{66.6666}}{10} =-\frac{\sqrt{}}{10} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{66.6666}}{2*5}=\frac{0+\sqrt{66.6666}}{10} =\frac{\sqrt{}}{10} $

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