if p+q=12 and pq=27 find the value of p3 +q3
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Step-by-step explanation:
p+q=12. (1)
pq=27
p=27/q. (2)
putting in 1st eqn
27/q + q= 12
27+q^2/q=12
q^2 + 27 = 12×q
q^2 - 12q +27 =0
q^2 - 3q - 9q +27 = 0
q (q-3) -9 (q-3) =0
(q-9) =0. (q-3) =0
q=9. q=3.
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