4條因式分解!!!!!!!!!!!!!!!!!!!!!!!!

2011-09-03 4:53 pm
6X^2 +18X = 0

15X=5X^2

X^2-49=0

25X^2-64=0

回答 (3)

2011-09-03 5:24 pm
✔ 最佳答案
6x^2+18x = 0
x^2+3x=0
x(x+3)=0
x=0 or x+3=0
x=0or x=-3

15x=5x^2
5x^2-15x=0
x^2-3x=0
x(x-3)=0
x=0 or x-3=0
x=0 or x=3

x^2-49=0
x^2-7^2=0
(x-7)(x+7)=0
x-7=0 or x+7=0
x=7 or x=-7

25x^2-64=0
(5x)^2-8^2=0
(5x-8)(5x+8)=0
5x-8=0 or 5x+8=0
x=8/5or x=-8/5


2011-09-04 1:34 am
6X^2 +18X = 0
6(x^2+3x)=0
x^2+3x=0
x(x+3)=0
x=0 or x=-3

15X=5X^2
-5x^2+15x=0
5x^2-15x=0
5(x^2-3x)=0
x^2-3x=0
x(x-3)=0
x=0 or x=3

X^2-49=0
(x+7)(x-7)=0
x=7 or x=-7

25X^2-64=0
(5x+8)(5x-8)=0
x=-8/5 or x=8/5
參考: a^2-b^2=(a+b)(a-b)
2011-09-03 7:07 pm
6x^2+18x=0
6x(x+3)=0
x=0 or-3

15x=5x^2
0=5x^2-15x
5x^2-15x=0
5x(x-3)=0
x=0 or 3

x^2-49=0
x^2-7^2=0
(x+7)(x-7)=0
x=-7 or 7

25x^2-64=0
(5x)^2-8^2=0
(5x+8)(5x-8)=0
x=-8/5 or 8/5
參考: me


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