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-(3/4)t=-12
We move all terms to the left:
-(3/4)t-(-12)=0
Domain of the equation: 4)t!=0We add all the numbers together, and all the variables
t!=0/1
t!=0
t∈R
-(+3/4)t-(-12)=0
We add all the numbers together, and all the variables
-(+3/4)t+12=0
We multiply parentheses
-3t^2+12=0
a = -3; b = 0; c = +12;
Δ = b2-4ac
Δ = 02-4·(-3)·12
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{144}=12$$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*-3}=\frac{-12}{-6} =+2 $$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*-3}=\frac{12}{-6} =-2 $
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