The sum of a number and 6 times it's reciprocal is -7. Find all numbers that meet this condition.
Be sure to list all the solutions.
If there are multiple solutions, separate them with commas, but do not include any spaces in your response.
2007-10-23 13:58:49 · 5 answers · asked by ry ry 3 in Science & Mathematics ➔ Mathematics
Hello,
x + 6/x = -7 so x^2 + 6 = -7x and x^2 +7x + 6 = 0 now (x+6)(x+1) are they factors so x = -6 and x = -1
Hope This Helps!
2007-10-23 14:02:13 · answer #1 · answered by CipherMan 5 · 0⤊ 0⤋
x + 6/x = -7
Multiply by x.
x^2 + 6 = -7x
x^2 + 7x + 6 = 0
Factor
(x + 6)(x + 1) = 0
So, x + 6 = 0 or x +1 = 0.
x = -6, -1
2007-10-23 21:03:58 · answer #2 · answered by Ludwig H 2 · 1⤊ 0⤋
n= -1, -6
2007-10-23 21:03:20 · answer #3 · answered by Anonymous · 0⤊ 1⤋
x+6/x=-7
or x^2+6=-7x
or x^2+7x+6=0
or x^2+6x+x+6=0
or x(x+6)+1(x+6)=0
or(x+1)(x+6)=0
or x=-1,-6
2007-10-24 05:42:47 · answer #4 · answered by Sumita T 3 · 0⤊ 0⤋
Wow.. you've posted your entire homework assignment on Yahoo! Answers!!!
You should be ashamed of yourself.
2007-10-23 21:03:34 · answer #5 · answered by Little Mehmy 2 · 0⤊ 3⤋