Question

(a+1/a) = -1 then (a3+1)=?​

Answer 1

$\huge\bold\blue{AnswEr:-}$

${\underline{\underline{\mathsf{\pink{GivEn:-}}}}}$ $\dfrac{a + 1}{a} = -1$

${\underline{\underline{\mathsf{\pink{To \ find:-}}}}}$ $a^3 + 1$

$\dfrac{a + 1}{a} = -1$

a + 1 = -a

a + a = -1

2a = -1

a = -1/2

${\underline{\underline{\mathsf{\pink{Putting \ value \ of \ a \ :-}}}}}$

$a^3 + 1$

→ $\dfrac{-1}{2}^3 + 1$

→ $\dfrac{-1}{8} + 1$

→ $\dfrac{-1 + 8}{8}$

→ $\dfrac{-7}{8}$

${\underline{\underline{\mathsf{\pink{Hence, \ solved}}}}}$