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0606 P22 - Mar 2019 - Q4 - 6 marks
8244

(a) Find the values of \(x\) for which \((2x+1)^2\lt 3x+4\).

(b) Show that, whatever the value of \(k\), the equation \(\dfrac{x^2}{4}+kx+k^2+1=0\) has no real roots.

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