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(7/3)y=4
We move all terms to the left:
(7/3)y-(4)=0
Domain of the equation: 3)y!=0We add all the numbers together, and all the variables
y!=0/1
y!=0
y∈R
(+7/3)y-4=0
We multiply parentheses
7y^2-4=0
a = 7; b = 0; c = -4;
Δ = b2-4ac
Δ = 02-4·7·(-4)
Δ = 112
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}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{112}=\sqrt{16*7}=\sqrt{16}*\sqrt{7}=4\sqrt{7}$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{7}}{2*7}=\frac{0-4\sqrt{7}}{14} =-\frac{4\sqrt{7}}{14} =-\frac{2\sqrt{7}}{7} $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{7}}{2*7}=\frac{0+4\sqrt{7}}{14} =\frac{4\sqrt{7}}{14} =\frac{2\sqrt{7}}{7} $
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