Product and rational quadratic equations

Product and rational quadratic equations

Secondary 2
TGM Original Questions

Solve each of the following equations, observing all restrictions.

  1. \((3x-2)(x+4)=24\)
  2. \(\frac{18}{m-3}=m+4\)
  3. \((p-3)^2=2(3-p)(2p-1)\)
  4. \(3-y=\frac2y\)
  5. \(\frac{-6}{x(x+5)}=1\)
  6. \((2-a)(5-a)=(a-5)(3a+4)\)

Solution:

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Answer:(a) \(x=2,-\frac{16}{3}\); (b) \(m=5,-6\); (c) \(p=1,3\); (d) \(y=1,2\); (e) \(x=-2,-3\); (f) \(a=5,-3\).

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