-24=-8/3p +3p
find p=?
2007-08-06 06:08:44 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
-24=-8/3p+9/3p
-24=1/3p
p=3*-24=-72
2007-08-06 06:13:34 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Multiply both sides by 3p
-24*3p = -8 + (3p)^2
-72p = 9p^2 - 8
9p^2 + 72p - 8 = 0
p1,2 = [-72 +- sqrt(72^2 + 4*8*9)]/18 =
= [-72 +- sqrt(5184 + 288)]/18 =
= (-72 +- sqrt 5472)/18 = -4 +- sqrt(144 * 38)/18 =
= -4 +- 12sqrt(38)/18 = -4 +- 2sqrt(38)/3
2007-08-06 13:20:14 · answer #2 · answered by Amit Y 5 · 0⤊ 0⤋
-24 -3p = - 8/3p
-72p - 9p^2 = - 8
9p^2 + 72 p - 8 = 0
p^2 + 8p - 8/9 = 0
p^2 + 8p + 16 - 152/9 = 0
p^2 + 8p + 16 = 152/9
(p+4)^2 = 152/9
p+4 = ((152)^.5)/3 or p+ 4 = -( (152)^.5)/3
P +4 = 2/3(38)^.5 or p + 4 = -2/3(38)^.5
p = 2/3(38)^.5 -4 or p = -2/3(38)^.5 -4
2007-08-06 13:22:30 · answer #3 · answered by timemccormick 3 · 0⤊ 0⤋
-72.... Combine the -8/3 and the 3 (9/3) and then divide through by the result (1/3)
2007-08-06 13:14:47 · answer #4 · answered by Matt C 3 · 0⤊ 0⤋
1/3 p = -24
p = -72
2007-08-06 13:17:58 · answer #5 · answered by rosie recipe 7 · 0⤊ 0⤋
-72P=-8+9p^2
9p^2+72p-8=0
P= ( -72(+/-)(72^2-4*9*-8)^.5)/18
P= ((-72(+/-)(5184+288)^.5)/18
P=((-72(+/-)(5472)^.5)/18
P1=(-72+73.97)/18 P2=(-72-73.97)/18
P1=0.1096 P2=-8.1094
2007-08-06 13:57:00 · answer #6 · answered by gamal 2 · 0⤊ 0⤋