For each of the following quadratic equations, find the discriminant and hence draw its

Chapter 1, Problem 4

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For each of the following quadratic equations, find the discriminant and hence draw its sign diagram. Find all values of k for which the equation has: i two distinct real roots ii two real roots iii a repeated root iv no real roots. a 2x2 + kx k = 0 b kx2 2x + k = 0 c x2 + (k + 2)x +4=0 d 2x2 + (k 2)x +2=0 e x2 + (3k 1)x + (2k + 10) = 0 f (k + 1)x2 + kx + k = 0

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