Question : If $(4a + \frac{5}{a} + 5)=14$, what is the value of $(16a^2+ \frac{25}{a^2})$?
Option 1: 25
Option 2: 36
Option 3: 41
Option 4: 40

Question

Question : If $(4a + \frac{5}{a} + 5)=14$, what is the value of $(16a^2+ \frac{25}{a^2})$?

Option 1: 25

Option 2: 36

Option 3: 41

Option 4: 40

Team Careers360 · Accepted Answer

Correct Answer: 41

Solution : $(4a + \frac{5}{a} + 5) = 14$
$⇒(4a + \frac{5}{a}) = 14-5 = 9$
$⇒(4a + \frac{5}{a})^2 = 9^2$
$⇒(16a^2+ \frac{25}{a^2} + 40) = 81$
$ herefore(16a^2+ \frac{25}{a^2})= 81-40 = 41$
Hence, the correct answer is 41.

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Question : If (4a+5a+5)=14, what is the value of (16a2+25a2)?Option 1: 25Option 2: 36Option 3: 41Option 4: 40

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Question : If $(4 a + \frac{5}{a} + 5) = 14$ , what is the value of $(16 a^{2} + \frac{25}{a^{2}})$ ?
Option 1: 25
Option 2: 36
Option 3: 41
Option 4: 40