Question

find the closest point of curve: x^4+y^4=0 to the line : x+8y = 24.

Answer 1

x^4 + y^4 = 0, if x = 1, what is y? If x= -1, what is y? If x= 0, what is y?

Answer 2

:-O I didn't understand

Answer 3

You have an equation x^4 + y^4 = 0 and I am asking you what is the value of y when x= -1, 0 and 1.

Answer 4

for x=-1 y is 1 for 1 y is -1 and for 0 y is 0

Answer 5

You say that when x is 1, y is -1

1^4 = 1, what does (-1)^4 equal?

Answer 6

-1*-1*-1*-1 = ?

Answer 7

You do know that when you multiply a minus number by a minus number you get a positive number?

Answer 8

Oh, you deleted your post, OK.

Answer 9

so how can these answers be related to my question?

Answer 10

When you answer my question,I will tell you.

Answer 11

OK, I guess you are unable to multiply -1 by itself 4 times, the answer is 1.

But 1+1 is not equal to zero.

And if I put x = -1, same thing.

So the only solution to your first equation (which you called a curve) is (0,0).

Answer 12

why did u try just these 3 integers?

Answer 13

I could have put a, -a and 0, I chose them as being representatives of all possible values of x.

Answer 14

what about my next equation that is a line, u didn't even use it

Answer 15

Whatever you next equation, there is only one solution to the first equation, so that must be the nearest point (it is the ONLY point).

Answer 16

but this point (0,0) in not on this line because 0+0 != 24 am I right?

Answer 17

Correct, you asked for the closest point.

Answer 18

but it may be nearest point yeah thanks

Answer 19

If your second equation was a line passing through the origin, the point would be coincident.

Answer 20

so as last question, what do u think about the figure of first equation? u said just one point is correct on this equation so is that a point??

Answer 21

I said before, (0,0) (which is a point like any other although it is also the origin).