Question

if a+1/a=1 then a³+1=


please answer correctly.​

Answer 1

Step-by-step explanation:

$a + \frac{1}{a} = 1 \\ or \: \: \frac{a {}^{2} + 1 }{ a} = 1 \\ or \: \: a {}^{2} + 1 = a \\ or \: \: a {}^{2} - a + 1 = 0 \\ \\ a {}^{3} + 1 \\ = (a + 1)(a {}^{2} - a + 1) \\ = (a + 1) \times 0 \\ = 0$