(3/5)y-9=-6

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Solution for (3/5)y-9=-6 equation:



(3/5)y-9=-6
We move all terms to the left:
(3/5)y-9-(-6)=0
Domain of the equation: 5)y!=0
y!=0/1
y!=0
y∈R
We add all the numbers together, and all the variables
(+3/5)y-9-(-6)=0
We add all the numbers together, and all the variables
(+3/5)y-3=0
We multiply parentheses
3y^2-3=0
a = 3; b = 0; c = -3;
Δ = b2-4ac
Δ = 02-4·3·(-3)
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6}{2*3}=\frac{-6}{6} =-1 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6}{2*3}=\frac{6}{6} =1 $

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