Solve this equation by factoring 6x²-24=0?
回答 (5)
2008-07-22 10:24 am
✔ 最佳答案
/x^2-4=0
x=+-2
2008-07-22 10:26 am
= 6x² - 24
= 6(x² - 4)
= (x + 2)(x - 2)
Answer: 6(x + 2)(x - 2) are the factors.
= 6(x² - 4)
= (x + 2)(x - 2)
Answer: 6(x + 2)(x - 2) are the factors.
2008-07-22 3:50 pm
x² - 4 = 0
(x - 2)(x + 2) = 0
x = 2 , x = - 2
(x - 2)(x + 2) = 0
x = 2 , x = - 2
2008-07-22 12:18 pm
6x^2 - 24 = 0
(6x^2 - 24)/6 = 0/6
x^2 - 4 = 0
x^2 + 2x - 2x - 4 = 0
(x^2 + 2x) - (2x + 4) = 0
x(x + 2) - 2(x + 2) = 0
(x + 2)(x - 2) = 0
x + 2 = 0
x = -2
x - 2 = 0
x = 2
∴ x = ±2
(6x^2 - 24)/6 = 0/6
x^2 - 4 = 0
x^2 + 2x - 2x - 4 = 0
(x^2 + 2x) - (2x + 4) = 0
x(x + 2) - 2(x + 2) = 0
(x + 2)(x - 2) = 0
x + 2 = 0
x = -2
x - 2 = 0
x = 2
∴ x = ±2
2008-07-22 10:32 am
6 is common, so put it outside the brackets.
6 (x^2 - 4) = 0
Now use (a^2 - b^2) = (a+b)(a-b)
6 (x + 2) (x - 2) = 0
Divide by 6 on both sides:
(x + 2) (x - 2) = 0
Therefore, x = -2, 2.
I hope that helps. :)
me07.
6 (x^2 - 4) = 0
Now use (a^2 - b^2) = (a+b)(a-b)
6 (x + 2) (x - 2) = 0
Divide by 6 on both sides:
(x + 2) (x - 2) = 0
Therefore, x = -2, 2.
I hope that helps. :)
me07.
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