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Question
Solve the following equation by factorization
`x^2 - (1 + sqrt(2))x + sqrt(2)` = 0
Solution
`x^2 - (1 + sqrt(2))x + sqrt(2)` = 0
⇒ `x^2 - x - sqrt(2)x + sqrt(2)` = 0
⇒ `(x - 1) - sqrt(2) (x - 1)`= 0
⇒ `(x - 1) (x - sqrt(2))` = 0
Either x - 1 = 0,
then x = 1
or
`x - sqrt(2)` = 0,
then x = `sqrt(2)`
Hence x = 1, `sqrt(2)`.
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