2006-10-16 18:39:43 · 5 answers · asked by Kamille J 1 in Science & Mathematics ➔ Mathematics
x^4 + 4x^3 + 125x + 500 = 0
x^3 (x+4) + 125 (x+4) = 0
=> (x^3+125) (x+4) =0
=> either x^3+125=0 => x^3=-125 => x=-5
or x+4=0 => x=-4
=> x = -5 or -4
2006-10-17 00:41:29 · answer #1 · answered by Ahmad Nasser 2 · 0⤊ 0⤋
x^4 + 4 x^3 +125x + 500
x^3 (x + 4) + 125( x +4)
Let u = (x + 4), then
x^3 u + 125u
u(x ^3 +125)
so, x = -4 or -5 or 5
2006-10-17 21:43:02 · answer #2 · answered by Anonymous · 0⤊ 0⤋
what about it? I will do the derivative for you but im not sure if thats what you are asking. it will be 4x^3 + 12x^2+125
2006-10-17 01:41:53 · answer #3 · answered by Troy 1 · 0⤊ 1⤋
ans is 500 if x=0.
2006-10-17 01:42:22 · answer #4 · answered by AKASHGANGA 2 · 0⤊ 0⤋
x^3(x+4)+125(x+4)
(x+4)(x^3+125)
(x+4)(x+5)(x^2-5x+25)
2006-10-17 01:42:22 · answer #5 · answered by raj 7 · 1⤊ 0⤋