TMUA Specimen Paper 2 Q3 — Worked Solution

P2·Algebra & Surds·5.0Specimen · P2 · Q3

proof-errorextraneous-rootssquaring-both-sides

Consider the following attempt to solve an equation. The steps have been numbered for reference.

x + 5 = x + 3

(1)

x + 5 = x^{2} + 6 x + 9

(2)

x^{2} + 5 x + 4 = 0

(3)

(x + 4) (x + 1) = 0

x = - 4

x = - 1

Which one of the following statements is true?

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