SOLUTION: Please help me solve this. Thank you! If x=2+sqrt(3) and y= 2-sqrt(3) then solve: x^4+y^4 The answer that i got was 180-12sqrt(3) but i don't think that is correct.

Question 982192: Please help me solve this. Thank you!
If x=2+sqrt(3) and y= 2-sqrt(3) then solve:
x^4+y^4
The answer that i got was 180-12sqrt(3) but i don't think that is correct.

Found 3 solutions by josgarithmetic, josmiceli, macston:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Here is a suggestion, while I hold off from actually showing the work here:

Try using or following the Binomial Theorem to find x^4 and y^4, and then sum them.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!

---------------------
check answer:

and

-----------------

and

I think error is due to rounding off

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.

.
Using same method:

So:
=

RELATED QUESTIONS
Please help me answer this, Thank you so much! If x=... (answered by josgarithmetic)
Please can someone help? I have no idea where to start, and please show me how u got the... (answered by Alan3354)
Please help me regarding this question. Solve for x and y by subsitution method. (answered by mananth)
Hi, Please help me solve this equation involving negative rational exponents: {{{... (answered by ikleyn)
Please help me solve this equation: 4 + sqrt(x^3+y^3) = z Solve for... (answered by MathLover1,Edwin McCravy)
Find the smallest possible value: {{{sqrt(x^2+y^2)}}} + {{{sqrt((x-1)^2+y^2)}}} +... (answered by ikleyn)
How do i go about factoring: sqrt(128) I looked online on how to solve radicals and i... (answered by oscargut)
Please, help me with this problem: Simplify this expression sqrt x^8 y^7 z^2 a.... (answered by ankor@dixie-net.com)
simplify the expression. assume that x and y represent nonnegative real numbers. sqrt... (answered by ewatrrr)