Question

If a + b = 4 and ab = 3; find 1/(b)2 + 1/(a)2​

Answer 1

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Answer 2

Answer:

10/9

Step-by-step explanation:

if a + b = 4

then a + b whole sq. = 16

a^2 + b^2 + 2ab = 16

ab = 3

so 2ab = 6

a^2 + b^2 = 10

now solve

1/b^2 + 1/a^2 =

a^2 + b^2 / a^2 b^2 =

ab = 3

a^2 b^2 = 9

so 1/b^2 + 1/a^2 =10/9