The numerator of a rational expression is 144 less than the square of a number, and the denominator is 19. If this expression is equivalent to 12 more than the same number, determine the possible values of the number
2007-06-21 15:23:56 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
(x^2 - 144) / 19 = x + 12
Factor:
(x+12)*(x-12) / 19 = (x+12)
If x is not = -12, divide by x+12:
(x-12) / 19 = 1, or x - 12 = 19, or x = 31.
So the solutions are x = -12 or 31.
2007-06-21 16:08:16 · answer #1 · answered by David Y 5 · 0⤊ 0⤋
21 and 12
2007-06-21 15:31:26 · answer #2 · answered by Enginurse 2 · 0⤊ 1⤋
Factoring the numerator and denominator supplies y = (x-a million)(x² + x + a million) / x(x+2) a) with the help of holes, i anticipate it potential detachable discontinuities. do no longer see any straight forward aspects so no. b) Vertical Asymptotes at x=0, x=-2 oblique Asymptote: (x-2) (i.e. the quotient of (x³-a million) / (x²+2x) observe: A graph can't have the two a horizontal AND oblique asymptote. c) that is under no circumstances achieveable for a graph to decrease vertical asymptotes, even nevertheless it must be achieveable to pass over horizontal ones and oblique ones.
2016-10-18 07:51:07 · answer #3 · answered by Erika 4 · 0⤊ 0⤋
(x^2 - 144)/19 = x + 12
x^2 - 19x - 144 - 228 = 0
x^2 - 19x - 372 = 0
(x - 12)(x - 31) = 0
x = 12, 31
2007-06-21 15:46:33 · answer #4 · answered by Helmut 7 · 0⤊ 1⤋