Question

X
${x }^{2} - 1 = 0$
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Answer 1

x²-1 = 0

=) x² = 0+1

=) x² = 1

=) x = +√1

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Answer 2

${\underline{\underline{\huge{\red{\bold{Solution :-}}}}}}$

Completing the square solution :-

${x }^{2} - 1 = 0$

Step 1 - Add 1 to both sides

${x }^{2} - 1 + 1 = 0 + 1$

${x }^{2} = 1$

Step 2 - Take square root

${x } <u>+</u> √1$

${x } = 1 or {x } = -1$

Answer :- ${x } = 1 or {x } = -1$

Factoring solution :-

${x }^{2} - 1 = 0$

Step 1 - Factor left side of equation

$({x } + 1) ({x } - 1)$

Step 2 - Let factors equal to 0

${x } + 1 = 0 or {x } - 1 = 0$

${x } = -1 or {x } = 1$

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