2.11: Discriminant and quadratic inequality in kk

0606/22/M/J/16 — Question 1 · 4 marks

(i)
Given that x2+2kx+4k3=0x^{2} + 2kx + 4k - 3 = 0 has no real roots, show that kk satisfies k24k+3<0k^{2} - 4k + 3 < 0.
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(ii)
Solve the inequality k24k+3<0k^{2} - 4k + 3 < 0.
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