Question: quadratic equation 18. (a) Express k2 - 8k + 20 in the form a (k + b) 2+ c. where a, b and c are

quadratic equation

18. (a) Express k2 - 8k + 20 in the form a (k + b) 2+ c. where a, b and c are constants. (b) Hence, prove that the equation x2 - kx + 2k = 5 has real and distinct roots for all real values of k. 19. (a) Show that (x2 + 2x - 3)(x2 - 3x - 4) = x4 - x3 - 13x2 + x + 12. (b) Hence, solve the equation x4 - x3 - 13x2 + x + 12 = 0

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