Equations reducible to quadratics

Equations reducible to quadratics

Secondary 2
TGM Original Questions
  1. Solve \(x^2-3x-10=0\).
  2. Hence solve
    1. \((p^2-4p)^2-3(p^2-4p)-10=0\), and
    2. \(9y^4-9y^2-10=0\), giving real solutions only.

Solution:

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Answer:(a) \(x=5,-2\); (b)(i) \(p=5,-1,2\pm\sqrt2\); (ii) \(y=\pm\sqrt{\frac53}\).

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