Question discussion

If y2 = y + 7, then what is the value of y3?

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Discussion 1

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Given y2 = y + 7

Multiplying LHS and RHS by y

⇒ y3 = y2 + 7y

∴ y3 = y + 7 + 7y = 8y + 7 [? y2 = y + 7]