# If a + 1/a = 4, a 2 + 1/a 3 = 7, then what is the value of a 3 + 1/a 2

| If a + 1/a = 4, a

^{2}+ 1/a^{3}= 7, then what is the value of a^{3}+ 1/a^{2 }?A. 66

B. 95

C. 52

D. 59

### Right Answer is: D

#### SOLUTION

Given that, a + 1/a = 4

……….(1)

………..(2)

Now,

Adding equations (1) and (2):

= 66 – 7 = 59

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