Math, asked by Snehapandey1, 4 months ago

.If p^2+q^2= 5 and pq =2 find p^3-q^3

Answers

Answered by cherryyypieee

2

Answer:

p^3-q^3=±7

Step-by-step explanation:

pq=2

p=2/q

p^2+q^2=5 (substitute p)

(2/q)^2+q^2=5

4/q^2+q^2=5 (multiply all by q^2)

4+q^4=5q^2

q^4-5q^2+4=0

(q^2-4)(q^2-1)=0

q=2, q=1

q=2 then p=2/q p=1

q=1 then p=2/q p=2

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