Math, asked by Lakshmansharma02, 8 months ago

a+1/a=1 then a3+1= answer

Answers

Answered by smitaprangya98
3

Step-by-step explanation:

its your answer............

Attachments:
Answered by visala21sl
0

Answer:

The value of a³ + 1 is 0.

Step-by-step explanation:

Given that a + \frac{1}{a} = 1

We have to find the value of a³ + 1.

Now,  a + \frac{1}{a} = 1

\frac{a}{1} + \frac{1}{a} =1

Take LCM(1, a) is a

\frac{a^{2} +1}{a} = 1

a² + 1 = a

a² = a -1

Multiplying both sides with 'a'

a(a²) = a(a-1)

a³ = a² - a

put the value of a² in the above expression, then

a³ = a - 1 - a

a³ = -1

adding bothsieds with '1'

a³ + 1 = -1 + 1

a³ + 1 = 0.

Therefore, a³ + 1 = 0.

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