Question

Solve by 'quadratic formula' or 'completion of square'

$17. \: x {}^{2} - (1 + \sqrt{2} )x + \sqrt{2} = 0$
Ans: 1 , √2

Standard:- 10

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Answer 1

x²-(1+√2)x+√2=0

x²-x-√2x+√2=0

x(x-1)-√2(x-1)=0

(x-√2)(x-1)=0

x= √2 or 1

Answer 2

In the attachments, I have explained the solution to this question.


Hope it helps!