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3/4c-1/1c+3=7
We move all terms to the left:
3/4c-1/1c+3-(7)=0
Domain of the equation: 4c!=0
c!=0/4
c!=0
c∈R
Domain of the equation: 1c!=0We add all the numbers together, and all the variables
c∈R
3/4c-1/1c-4=0
We calculate fractions
3c/4c^2+(-4c)/4c^2-4=0
We multiply all the terms by the denominator
3c+(-4c)-4*4c^2=0
Wy multiply elements
-16c^2+3c+(-4c)=0
We get rid of parentheses
-16c^2+3c-4c=0
We add all the numbers together, and all the variables
-16c^2-1c=0
a = -16; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·(-16)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1}=1$$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*-16}=\frac{0}{-32} =0 $$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*-16}=\frac{2}{-32} =-1/16 $
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