if x=17+2×2^1/2
then find value of x^1/4x-x^-1/4
Answers
Answer:
x+1x=17
⟹x3+1x3=(x+1x)3−3(x.1x)(x+1x)
=173−(3∗17)=4862
Let y=x4+1x2x2−3x+1
Divide both numerator and denominator by x
y=x3+1x3x−3+1x
⟹y=486217–3=24317
Ans: 24317
What is the value of (x^4+1/x^2) /x^2-3x+1 if x^2+1=2x?
If x+1/x=3, then what is the value of x³+1/x³=?
If x - 1/x=2, then how would one find the value of x^4+1/x^4?
If x +1/x =4 then what is the value of x⁴ +1/x⁴?
If x+1/x=3, then what is the value of x^4+1/x^4=?
x+1/x=17………………..(1) given
(x^4+1/x^2)/(x^2-3x+1). =?
=(x^6+1)/x^2.x.(x-3+1/x).
=(x6+1)/x^3.(x+1/x-3).
=(x^3+1/x^3)/(x+1/x-3)
=[(x+1/x)^3–3(x+1/x)]/(x+1/x-3)
=[17^3–3.17]/(17–3)
=17(289–3)/14
=17×286/14. =17×143/7. =2431/7. Answer.
Don’t miss vaccination. Lockdown diseases, not childhood.
x+1=17x
16x-1=0
x=1/16
Therefore,
(1/65536+256)/(1/256–3/16+1)=313.569393249