If p+q=12 and pq=27 find the value
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P³+Q³ = 971
Step-by-step explanation:
q = 12-p
pq = 27
p (12-p) = 21
12 p - p² = 21
p² -12 p +21 = 0
on finding the root of above equation for p , we get
p = 9.87 or 2.12
q = q = 12-p = 2.12 or 9.87
means when p = 9.87 q = 2.12
when p = 2.12 q = 9.87
P³+Q³ = 9.87³+ 2.12³
= 961.5 + 9.52
= 971
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