If a+b=8 and ab=12 find (a)a2+b2

(b)the difference between a and b

Asked by Shankar.kmp143 | 8th Jul, 2019, 05:36: PM

Expert Answer:

Given .... a+b=8 and ab=12 

a. (a + b)2 = a2 + b2 + 2ab

→ a2 + b2 = (a + b)2 - 2ab = (8)2 - 2(12)= 64 - 24 = 40

b. (a - b)2 = a2 + b2 - 2ab = 40 - 2(12) = 40 - 24 = 16

→ a - b = ± 4

Answered by Yasmeen Khan | 8th Jul, 2019, 06:36: PM