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question

Find all values of x such that x/x+4 = -(9/x+3) . If you find more than one value, then list your solutions in increasing order, separated by commas.

PLEASE OH SMART ONEEEEEEEEEEEEEEEEEEEEESSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS Apr 22, 2019

#1
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x/x = 1    I think you meant   x/ (x+4)<----------      and ----------->  (-9/(x+3))

multiply both sides by (x+4)

x = (x+4)(-9/(x+3) )     now multiply both sides by - (1/(x+3)

-x(x+3) = 9x+36

-x^2 -3x = 9x + 36     re-arrange

-x^2 -12x - 36 = 0      or

x^2 + 12x + 36 = 0     factor

(x+6)(x+6) = 0               x = -6   (two roots)

Apr 22, 2019
edited by ElectricPavlov  Apr 22, 2019

#1
0

x/x = 1    I think you meant   x/ (x+4)<----------      and ----------->  (-9/(x+3))

multiply both sides by (x+4)

x = (x+4)(-9/(x+3) )     now multiply both sides by - (1/(x+3)

-x(x+3) = 9x+36

-x^2 -3x = 9x + 36     re-arrange

-x^2 -12x - 36 = 0      or

x^2 + 12x + 36 = 0     factor

(x+6)(x+6) = 0               x = -6   (two roots)

ElectricPavlov Apr 22, 2019
edited by ElectricPavlov  Apr 22, 2019