SOLUTION: 1. Which sum yields 4-6a/x-2? 2. Perform the indicated operations and simplify the following expression: 5a+3/a^2+13a+12 - 2a-3/a^2+13a+12 3.Solve for k in k/k+1=3/k^2-k-2

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Question 772421: 1. Which sum yields 4-6a/x-2?
2. Perform the indicated operations and simplify the following expression: 5a+3/a^2+13a+12 - 2a-3/a^2+13a+12
3.Solve for k in k/k+1=3/k^2-k-2
4. Your textbook says that the focal length f of a lens is given by the lensmaker's formula 1/F=0.6(1/R1+1/R2) where r1 and r2 are the radii of the two circular surfaces. If those radii are 4 and 6 respectively, find f.
5. Solve the following equation : 3t-5/t-1=2+2t/1-t

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Factor the denominator in the RHS.

Apply the LCD

Multiply by the common denominator:

Distribute, collect all terms in the LHS

Factor and solve the quadratic:

Hence

or

But -1 causes a zero denominator and therefore is excluded from the domain of both the LHS and RHS functions i the original equation. Therefore exclude -1 as a root. The solution set consists of the single value 3.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it