2023 SCSS P1 Q2

2023 SCSS P1 Q2

Secondary 4
4 marks
  1. Given that \(x^2+4kx+1-3k=0\) has two real and distinct roots, show that \(k\) satisfies \(4k^2+3k-1>0\).[2]
  2. Solve the inequality \(4k^2+3k-1>0\).[2]

Solution:

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Answer:(i) Shown. (ii) \(k<-1\) or \(k>\dfrac14\).

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