find the solutions of the equation. x^4=2401?

1 ⤊

There are 4 answers total

2007-09-19 11:16:46 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

x^4 - 2401 = 0
2401 = 49²

x² - 49² = 0
(x² + 49)(x² - 49) = 0
(x² - (7i)²)(x² - 7²) = 0
(x+7i)(x-7i)(x+7)(x-7) = 0

x = {-7i, 7i, -7, 7}

2007-09-19 11:21:03 · answer #1 · answered by gudspeling 7 · 1⤊ 0⤋

x^4-2401=0=(x^2+49)(x+7)(x-7)

real world solutions are 7 and -7

you can play with imaginary numbers if you like.

2007-09-19 18:22:13 · answer #2 · answered by Kenneth H 3 · 0⤊ 0⤋

x^4-2401 = 0
Factor it:
(xÂ²-49)(xÂ²+49) = 0
xÂ² = 49
x = 7 or -7
xÂ² = -49
x = 7i or -7i.
The 4 solutions are 7, -7, 7i, -7i.

2007-09-19 18:24:11 · answer #3 · answered by steiner1745 7 · 0⤊ 0⤋

x^4=2401
x^2=+/-49
x=+/-7,+/-7i

2007-09-19 18:24:14 · answer #4 · answered by Anonymous · 0⤊ 0⤋