a. x= -8,1
b. x= 1,7
c. x= 2,4
d. x= 3,4
2007-03-16 05:10:17 · 10 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
x + 7/x = 8
x(x) + x(7/x) = 8(x)
x² + 7 = 8x
x² + 7 - 8x = 8x - 8x
x² - 8x + 7 = 0. . .Rearranged to standard form
find the sum of the middle term
x = 1
Multiply the first tern 1 by the last term 7 equal 7 and factor
Factors of 7 = 1, 7
- 1 - 7 satisfy the sum of the middle term
since - 1 = - x insert - x into the equation
x² - 8x + 7 = 0
x² - x - 7x + 7= 0
x(x - 1) - 7(x - 1) = 0
(x - 7)(x - 1)= 0
- - - - - -
Roots
x - 7 = 0
x - 7 + 7 = 0 + 7
x = 7
- - - - - -
x - 1 = 0
x - 1 + 1 = 0 + 1
x = 1
- - - - - - - s-
2007-03-16 08:29:24 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
there is not any answer. 7 (x + 2) = 7 (x + 8) Divide the two aspects by making use of seven: x + 2 = x + 8 As you will see that right here, there is not any answer because of the fact a quantity plus 2 won't be in a position to be equivalent to an identical quantity plus 8. in case you won't be in a position to be sure it, flow directly to the subsequent step and carry jointly like words. carry each and every of the x's to a minimum of one factor, and all the numbers to the different. 0 = 6 Now it is much greater obvious because of the fact 0 won't be able to equivalent 6.
2016-12-18 15:15:29 · answer #2 · answered by kemmer 4 · 0⤊ 0⤋
b is the answer and here it is
the equation becomes
x^2 + 7 = 8x
x^2 -8x + 7 = 0
has a form of a + b + c = 0
therefore x=1 and x = c/a = 7
2007-03-16 05:25:55 · answer #3 · answered by tuoidabuon 2 · 0⤊ 0⤋
x + 7/x = 8
Multiply both sides by x.
x^2 + 7 = 8x
Subtract 8x from each side.
x^2 - 8x + 7 = 0
Factor.
(x - 7)(x - 1) = 0
Either x - 7 = 0 or x - 1 = 0.
x = 7 or 1 (answer b)
2007-03-16 05:21:01 · answer #4 · answered by mortgagelns 3 · 1⤊ 0⤋
x+7/X=8, this equation has two answers:
multiply the equation by x:
x^2+7=8x
x^2-8x+7=0
d^2=8^2-4*7=36
d=+6 or d=-6
then x=[-(-8)+(+6)]/2=7
or x=[-(-8)+(-6)]/2=1
2007-03-16 05:21:32 · answer #5 · answered by raheleh 2 · 0⤊ 0⤋
x² + 7 = 8x
x² - 8x + 7 = 0
(x - 7).(x - 1) = 0
x = 1, x = 7
ANSWER b
2007-03-16 05:21:15 · answer #6 · answered by Como 7 · 2⤊ 0⤋
Hum... unless it's a trick question or mistyped question, I don't think the answer is in one of the choices you've provided.
The solution is simply x=1 as far as I can tell.
2007-03-16 05:19:18 · answer #7 · answered by T.H. 1 · 0⤊ 0⤋
(x^2+7)/x=8
x^2+7=8x
x^2-8x+7=0
(x-1)(x-7)=0
x=1 or x=7
the answer is b
2007-03-16 05:50:43 · answer #8 · answered by Hanna 2 · 0⤊ 0⤋
1\x(x+7/x)=8/x
1+7/x=8/x
1= 8/x - 7/x
1=1/x
x=1
or,
(x+7/x)=8
7/x=8-x
7= (8-x)x
0= - x^2 + 8x - 7
(x-1) (x-7) = 0
x=1,7
2007-03-16 05:16:09 · answer #9 · answered by piri82 3 · 0⤊ 0⤋
B
2007-03-16 05:18:18 · answer #10 · answered by Chris P 2 · 1⤊ 0⤋