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(10/21)*2y=20
We move all terms to the left:
(10/21)*2y-(20)=0
Domain of the equation: 21)*2y!=0We add all the numbers together, and all the variables
y!=0/1
y!=0
y∈R
(+10/21)*2y-20=0
We multiply parentheses
20y^2-20=0
a = 20; b = 0; c = -20;
Δ = b2-4ac
Δ = 02-4·20·(-20)
Δ = 1600
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{1600}=40$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40}{2*20}=\frac{-40}{40} =-1 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40}{2*20}=\frac{40}{40} =1 $
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