book Maths Puzzle Numerical Ability

x-7/x+2 = 1/4

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Hello,

I need your help with this problem. I'm trying to find the solution set.
7/x-2=1/2x^2+6x-20+8/x+5

thanks very much. A bacteria culture started with a count of 480 at 8:00 A.M. and after
t hours is expected to grow to f(t)=480(3/2)^2. Estimate the number of
bacteria in the culture at noon the s