This question was also well handled by the candidates. They showed that if a and ß are the roots of the equation 3x2 + 4x – 18 = 0, then (a + ß) = -4/3 , aß = - 6.
a2 + ß2 = (a + b)2 - 2aß = ( - 4/3 )2 + 12 = 124/9. a2b2 = (ab)2 = -62 = 36.
Hence the new equation = 9x2 – 124x + 324 = 0
