what are all the solutions for X^6+64?

👨🏻‍🏫 學術台數學

[匿名]

2008-08-24 5:47 am

pls any1??? this is so hard for me!

更新1:

ok well the teacher wrote exactly this find all solutions for the equation X^6 + 64 there are no equal signs. i think he means if i were to factor this out what would i get. i also think its gonna be an imaginary number but im really not sure

回答 (6)

[匿名]

2008-08-24 5:52 am

✔ 最佳答案

x = 2

solution:

x^6 = -64
x = -square root of 64
x=2

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bskelkar

2008-08-24 6:04 am

Basics. Basics are lacking. You cannot solve an expression. Study algebra more seriously. Find out the difference between expression and equation, see which them can be "solved"
Find out more about squares of real numbers. Can they be negative?
Find out that sixth power is in fact a square of something.
You have to do a lot of algebra before you attempt any problems.

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An ESL Learner

2008-08-24 12:37 pm

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

x^6 + 64
= (x^2)^3 + 64
= (x^2)^3 + 4^3
= (x^2 + 4)(x^4 - 4x^2 + 16)

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[匿名]

2008-08-24 5:57 am

That's an expression, not an equation. There are no solutions because there is nothing to "solve" here.

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[匿名]

2008-08-24 5:52 am

can't be solved unless you have = or inequality. Do you want to solve
x^6 = 64 ?

if so, the solutions are x = 2 or x = - 2.

good luck to you !

****After reading your second post, the only way to factor it is
(x^3 + 8i) (x^3 - 8i), where i is imaginary. Hope it helps !

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[匿名]

2008-08-24 5:51 am

okay first i need to know if the ^ is meant to be there and then i can answer

👍 0 👎 1

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