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13)....
3x² - 6x + 5 = 0 -----> a = 3 ; b = - 6 ; c = 5
α + β = (3p + 2) + (3q + 2)
= 3p + 3q + 2 + 2
= 3(p + q) + 4
= 3 . + 4
= 3. + 4
= 3 .(2) + 4
= 6 + 4
= 10
α . β = (3p + 2) (3q + 2)
= 9.p.q + 6p + 6q + 4
= 9.p.q + 6.(p + q) + 4
= 9 . + 6 . + 4
= 9. + 6 . + 4
= 15 + 12 + 4
= 31
persamaan baru :
x² - (α + β) x + α . β = 0
x² - 10 x² + 31 = 0