If 5a+1/{3a}=5, then the value of 9a^2+1/{25a^2} is:

Algebra and Applications Test 1

Question : 6 of 40

Marks: +1, -0

5a+1/{3a}=5

, then the value of

9a^2+1/{25a^2}

is:

Solution:

5a+1/{3a}=5

Multiplying both sides with

3 /5

and squaring we get

(3a+1/{5a})={3(5)}/5=3

(3a+1/{5a})^2 =3^2

9a^2+1/{25a^2}+2×3a×1/{5a}=9

9a^2+1/{25a^2}=9-6/5

9a^2+1/{25a^2}=39/5

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