Algebra 2 Help......?
3. x^4 – 8x^2 – 9 = 0
a.) 2, –3, 4i, i
b.) –3, 3, i, –i
c.) 2, –3, 4i, –i
d.) 3, i, –i
回答 (6)
✔ 最佳答案
Let x^2 = y
y^2 - 8x - 9 = 0
(y-9)(y+1) = 0
Sub x^2 = y because remember we are trying to find x not y
(x^2-9)(x^2+1)=0
(x+3)(x-3)(x^2+1)=0
x=-3 or 3 or -i or i
so B
x^4 – 8x^2 – 9 = 0
(x-3)(x+3)(x^2 + 1) = 0
Then x = 3, -3, i or -i
Answer is b)
x^4 – 8x^2 – 9 = 0
(x² - 9)(x² + 1) = 0
x = ±3, ±i
x^4 - 8x^2 - 9 = 0
x^4 + x^2 - 9x^2 - 9 = 0
(x^4 + x^2) - (9x^2 + 9) = 0
x^2(x^2 + 1) - 9(x^2 + 1) = 0
(x^2 + 1)(x^2 - 9) = 0
[x^2 - (-1)](x^2 - 3^2) = 0
(x^2 - i^2)(x + 3)(x - 3) = 0
(x + i)(x - i)(x + 3)(x - 3) = 0
x + i = 0
x = -1
x - i = 0
x = i
x + 3 = 0
x = -3
x - 3 = 0
x = 3
ⴠx = ±i, ±3
(answer b)
x^2's=[4+&-(16+9)^1/2]=9 & -1
x's=-3 , 3 , i & -i
Neighter one is compelete.
God bless you.
(x^2-9)(x^2+1)=0
x=-3, 3, and then I'm guessing i, -i though it have no idea what it means but that's the only thing that kinda makes sense. Because you need x^2 to equal -1 and that's basically impossible.
So I say B is the answer.
收錄日期: 2021-05-01 13:03:20
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