SOLUTION: 6/n - 1/4 = 8/2n

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Question 69803: 6/n - 1/4 = 8/2n
Answer by checkley75(3666) About Me  (Show Source):
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6/N-1/4=8/2N
6/N-1/4=4N
6/N-4N=1/4
(6-4N^2)/N=1/4 CROSS MULTIPLY
N=4(6-4N^2)
N=24-16N^2
-16N^2-N+24=0
16N^2+N-24=0 USING THE QUADRATIC EQUATION WE GET
X=(-1+-SQRT[1^2-4*-16*24])/2*16
X=(-1+-SQRT[1+1536])/32
X=(-1+-SQRT1537])/32
X=(-1+-39.2)/32
X=(-1+39.2)/32
X=38.2/32
X=1.194 ANSWER
X=(-1-39.2)/32
X=-40.2/32
X=-1.256 ANSWER