x=3+2√2 হলে x-1 এর সঠিক মান হবে?
Solution
Correct Answer: Option B
দেওয়া আছে,
x=3+2√2
∴ 1/x=1/(3+2√2)
= (3-2√2)/{(3+2√2)(3-2√2)}
= (3-2√2)/{32 - (2√2)2}
= (3-2√2)/(9-8)
= (3-2√2)/1
⇒ 1/x= 3-2√2
⇒ x-1= 3-2√2
x=3+2√2
∴ 1/x=1/(3+2√2)
= (3-2√2)/{(3+2√2)(3-2√2)}
= (3-2√2)/{32 - (2√2)2}
= (3-2√2)/(9-8)
= (3-2√2)/1
⇒ 1/x= 3-2√2
⇒ x-1= 3-2√2
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