Its math 536
2006-11-25 16:19:27 · 9 answers · asked by anna s 1 in Science & Mathematics ➔ Mathematics
1/2 and -1/2
2006-11-25 16:28:21 · answer #1 · answered by Anonymous · 1⤊ 0⤋
1/2
2006-11-25 16:21:05 · answer #2 · answered by tony200423man 2 · 0⤊ 1⤋
1\2 or -1\2
2006-11-25 18:40:40 · answer #3 · answered by deepak k 1 · 0⤊ 0⤋
Let n be the number. Then n + 1/n = 5n. Clear fractions by multiplying both sides by n.
n(n + 1/n) = n(5n)
n^2 + 1 = 5n^2
0 = 4n^2 -1
0 = (2n+1)(2n-1)
Set each factor equal to zero to solve for roots of the quadratic.
2n+1 = 0 --> n = -1/2
2n-1 = 0 --> n = 1/2.
There are two possible answers to this conundrum: 1/2 and -1/2.
To prove it, just substitute these into the equation n + 1/n = 5n.
You will find that both work.
2006-11-25 17:38:10 · answer #4 · answered by MathBioMajor 7 · 0⤊ 0⤋
Well, you can rewrite the question mathematically as
x + 1/x = 5x
Then you move x from the left to the right,
1/x = 5x - x
1/x = 4x
Multiply both sides of the equation by x to get rid of the denominator on the left side, and you get 1 = 4x^2
Divide both sides by 4 to get 1/4 = x^2
And now think, what number multiplied by itself gives you 1/4?
The answer is 1/2 and -1/2 (the square root of 1/4 are positive and negative 1/2)
2006-11-25 16:26:50 · answer #5 · answered by my nickname 2 · 2⤊ 0⤋
x + 1/x = 5x. Subtract x from each side. 1/x = 4x. Multiply by x: 1 = 4x^2. Divide by 4: 1/4 = x^2. Take the square root: 1/2 = x.
Check the work: 1/(1/2) = 2; 1/2 + 2 = 2.5; 1/2 * 5 = 2.5.
2006-11-25 16:22:49 · answer #6 · answered by Amy F 5 · 0⤊ 1⤋
1/2
Doug
2006-11-25 16:22:53 · answer #7 · answered by doug_donaghue 7 · 0⤊ 1⤋
1/2, nut i think someone answered this questio b4 me.
2006-11-25 16:22:39 · answer #8 · answered by arumisan 2 · 0⤊ 1⤋
the number is 5x... you can put any number in as x and it will wokr
2006-11-25 16:22:04 · answer #9 · answered by Anonymous · 0⤊ 1⤋