Question

suppose x^1/2+x^(-1/2)=3and
b=(x^3/2+x^(-3/2)-3)/(x^2+x^(-2)-2) find the value of b

Answer 1

Ok first cube the intital equation (a+b)^3=a^3+b^3+3ab(a+b)
so x^3/2+x^-3/2 +3(3)=27, so x^3/2+x^-3/2=18.
Now square it you get x^1/2+x^-1/2=7.so substitute in b you get 4/16=1/4

Answer 2

but the ans should be 1/3...

Answer 3

\[x^{1/2}+x ^{-1/2}=3\]
\[x = 1/2 (7+3 \sqrt(5))\]
\[b=(1/2 (1/2 (7-3 \sqrt(5)))^3+(1/2 (7-3 \sqrt(5)))^(-3/2)-3)/((1/2 (7-3 \sqrt(5)))^2+1/(1/2 (7-3 \sqrt(5)))^2-2)\]
\[b=0.332\]

Answer 4

err i think my method is correct only check for calculation mistakes. Write it down you'll get it but i think it is 1/4 only.

Answer 5

Prebz what happened to the other value of x? I think it will still be positive only you cannot neglect it.

Answer 6

Anyway i'm pretty sure thats a very bad method to do it actually finding x and all, all that calculation also, There's no need to find x to get the answer.

Answer 7

The answer should be the same.

Answer 8

How do you say that?

Answer 9

Oh sorry i took the wrong thing in numerator you get 18-3/7-2=3
Now i got 3 not 1/3 :/

Answer 10

Nevermind, the answer will not be the same, it was a bad method.

Answer 11

3ab(a+b) is not 9 from the original equation

Answer 12

https://www.connexus.com/content/media/415736-12142010-113926-AM-628438919.png
Which pair of angles are same-side interior angles?
A.

Answer 13

https://www.connexus.com/content/media/415736-12142010-113926-AM-628438919.png
Which pair of angles are same-side interior angles?
A.

Answer 14

https://www.connexus.com/content/media/415736-12142010-113926-AM-628438919.png
Which pair of angles are same-side interior angles?
A.

Answer 15

Which are the like terms in 5x^3 + 3x^2 – x + x^3?

A.
5x^3and x^3

B.
5x^3and 3x^2

C.
5x^3, 3x^2, and x^3

D.
They are all like terms.

(^ means exponents)

Answer 16

use f(x)=x+3and g(x)=x+9 to find each of the following
(a). (f+g)(x) (b). (f-g)(x) (c).

Answer 17

f(-2)=-3and g(-2)=5 find
a) (f +g)(-2)
b) (f-g)(-2)
c) (f*g)(-2)
d) (f/g)(-2

Answer 18

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Answer 19

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Answer 20

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Answer 26

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Answer 27

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Answer 28

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