Question

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

Answer 1

Answer:

10/9

Step-by-step explanation:

a + b = 4

Squaring on both sides,

(a+b)^2 = a^2 + b^2 + 2ab = 4^2 = 16

ab = 3

Substituting the value of ab,

a^2 + b^2 + 2ab = a^2 + b^2 + 2(3) = a^2 + b^2 + 6 = 16

a^2 + b^2 = 16 - 6 = 10

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

(a^2 + b^2)/(ab)^2 =

10/(3)^2 = 10/9

Answer 2

Step-by-step explanation:

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hope it helps u dear..