x2-√2x+1=0 হলে x12+1×6 এর মান কত?

x2-√2x+1=0 হলে x12+1×6 এর মান কত?

  1. 1
  2. √2
  3. 2

Answer:

Explanation: x2-√2x +1=0⇒x2+1 =√2x⇒x2+1x=√2xx⇒x+1x=√2⇒(x+1x)2=(√2)2⇒x2+2x.1x+1×2=2⇒x2+1×2=2-2⇒x2+1×2=0.’. x12+1×6=x12x6 +1×6=x12-6+1×6=x6 +1×6=(x2)3 +1(x2)3=(x2+1×2)(x4-x21x2+1×4)=(x2+1×2)(x4-1+1×4)=0×(x4-1+1×4)=0

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