Question

$if \: a {}^{2} + 1 \: = a \: then \: {a}^{3} + 1 =$
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Answer 1

Answer:

» a² + 1 = a ... (1)

Multiply equation throughout by a.

» a³ + a = a²

Add 1 on both sides we get

» a³ + a + 1 = a² + 1

» a³ + a + 1 = a ... from (1)

» a³ + 1 = 0