Question

Factorise --

x² - (√2 + 1 )x + √2

Answer 1

Answer:

(x - √2)(x - 1)

Step-by-step explanation:

Given Equation is x² - (√2 + 1)x + √2

= x² - √2x - x + √2

= x² - x - √2x + √2

= x(x - 1) - √2(x - 1)

= (x - √2)(x - 1)

The Zeroes of the given Equation is:

⇒ (x - √2)(x - 1) = 0

⇒ x = √2, 1

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Answer 2

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Solution :-

x² - ( √2 + 1 )x + √2

=> x² - √2x - x + √2

=> x² - x - √2x + √2

=> x ( x - 1) -√2 ( x - 1)

=> (x - √2) ( x - 1) Factorised ✔

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