If p+q=12 and pq=22, then find p square +q square.
Answers
Answered by
59
We know the formula of (p+q)² which is = p² + q² + 2.p.q
Hence we can say that p² + q² = (p + q)² - 2.p.q
We know p + q = 12 and we also know that pq = 22. Substituting these values in the right hand side of the equation we just got above.
12² - (2 x 22) = 144 - 44 = 100 which is your answer.
Hence we can say that p² + q² = (p + q)² - 2.p.q
We know p + q = 12 and we also know that pq = 22. Substituting these values in the right hand side of the equation we just got above.
12² - (2 x 22) = 144 - 44 = 100 which is your answer.
Answered by
6
Step-by-step explanation:
Answer
Given, p+q=12 and pq=22
We know that, (p+q)2=p2+q2+2pq ... (i)
By putting the given values in equation (i),
(12)2=psquare+q2+2(22)
144=p2+q2+44
144—44=p2+q2
100=p2+q2
Similar questions