Question

If 3a + 5b = 11 and ab = 2 then find the value of 9a^2+5b^2

Answer 1

Answer:

answer is 41

Step-by-step explanation:

3a+5b=11. ab=2

3*2+5*1=11. a=2,b=1,2*1=2

6. +. 5=11

11=11

9a^2. + 5b^2

9(2*2).+. 5(1*2)

9(4). +. 5(1)

36. +. 5

= 41

Answer 2

Answer:

3a+5b=11

squaring bothe sides.

Step-by-step explanation:

(3a+5b)^2=11^2

(3a)^2+2×3a×5b+(5b)^2=121

9a^2+30ab+25b^2=121

9a^2+30×2+25b^2=121

9a^2+25b^2=121-60

9a^2+25b^2=61.