1. If x = 3 + V2 then x + 1/x =
Answers
Answered by
0
Answer:
Let √x - 1/√x = a
Squaring both the sides,
x + 1/x - 2 = a^2
Putting the value,
3–2√2 + 1/(3–2√2) - 2 = a^2
a^2 = 1 - 2√2 + 1/(3–2√2)
= [(3–2√2) (1–2√2) + 1] / 3–2√2
= {3 - 8√2 + 9} / 3–2√2
= [12 - 8√2] / 3–2√2
Rationalising both the sides
= {(12 - 8√2)(3+2√2)} ÷ (9–8)
= 36 + 24√2 - 24√2 + 16(2)
= 36 - 32
=> 4
a^2 = 4
a = √4
a = 2, -2
So,
√x - 1/√x = a = 2, -2
Answered by
0
WIDGETS SPEAK SOON AAP EK SO AAJ SO SO HAL HA EI ETO ALSO WOODHEAD DISCUSSIONS DIDI
Similar questions
Math,
7 hours ago
Math,
7 hours ago
History,
14 hours ago
Chemistry,
14 hours ago
Computer Science,
8 months ago