if p+q=8 and pq=6 then find the value of p^2+q^2 pls and fast with correct explaination
Answers
Answered by
1
Answer:
Value of p² + q² is 52 when p + q = 8 and pq=12
Step-by-step explanation:
Given that,
p + q = 8
pq = 6
Required to find,
p² + q²
Process,
We know,
p² + q²
= (p + q)² - 2.pq
= (8²) - 2.6
= 64 - 12
= 52
Ans:- Value of p² + q² is 52 when p + q = 8 and pq=12
Answered by
1
Answer:
Using the identity (a+b)
3
=a
3
+b
3
+3ab(a+b), we can write
(p+q)
3
=p
3
+q
3
+3pq(p+q)
It is given that p+q=5 and pq=6, therefore,
(p+q)
3
=p
3
+q
3
+3pq(p+q)
⇒(5)
3
=p
3
+q
3
+(3×6)(5)
⇒125=p
3
+q
3
+(18×5)
⇒125=p
3
+q
3
+90
⇒p
3
+q
3
=125−90
⇒p
3
+q
3
=35
Hence, p
3
+q
3
=35.
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