Rearranging quadratic equations

Rearranging quadratic equations

Secondary 2
TGM Original Questions

Solve each of the following equations.

  1. \((2-3a)^2=49\)
  2. \((3x+1)^2=8(x+1)\)
  3. \((y-3)^2=9+y\)
  4. \((2x+3)(x-4)=-12\)
  5. \((3a-1)(a+2)=4-(2-a)\)
  6. \((2p-5)^2=9p\)

Solution:

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Answer:(a) \(a=-\frac53,3\); (b) \(x=1,-\frac79\); (c) \(y=0,7\); (d) \(x=0,\frac52\); (e) \(a=-2,\frac23\); (f) \(p=1,\frac{25}{4}\).

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