solve by splitting the term 4x^2+7x-2 cheers:)?

2016-06-21 8:36 am

回答 (5)

2016-06-21 8:42 am
✔ 最佳答案
Case I : Factorization

4x² + 7x - 2
= 4x² - x + 8x - 2
= (4x² - x) + (8x - 2)
= x(4x - 1) + 2(4x - 1)
= (x + 2)(4x - 1)


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Case II : Solving Quadratic Equation

4x² + 7x - 2 = 0
4x² - x + 8x - 2 = 0
(4x² - x) + (8x - 2) = 0
x(4x - 1) + 2(4x - 1) = 0
(x + 2)(4x - 1) = 0
x = -2 or x = 1/4
2016-06-21 9:19 am
4x^2 + 7x - 2
= 4x^2 + 8x - x - 2
= 4x(x + 2) - (x + 2)
= (4x - 1)(x + 2)
2016-06-21 10:41 am
(4x - 1)(x + 2) = 0
4x - 1 = 0
x = 1/4
&
x + 2 = 0
x = -2
2016-06-21 8:47 am
4x² + 7x - 2 = 4x² - x + 8x - 2 =

= x(4x - 1) + 2(4x - 1) = (x + 2)(4x - 1)
Hence,
x = -2, and x = 1/2. <-----------------------------/
2016-06-21 8:40 am
4(x + 2)(x - 0.25)


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