Question

4x²-8x+3=0 find its root using spilt the middle term​

Answer 1

Answer:

4x²-4x-4x+3= 0

4x(x-4) -3(x-4)

(4x-3) (x-4) ans.

Step-by-step explanation:

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Answer 2

Answer:

3/2   or   1/2

Step-by-step explanation:

⇒ 4x^2 - 8x + 3 = 0  

  Split the middle term(8) in such a way so that the product of the parts will be equal to the product of (4) and (3).

Here, 8 = 6 + 2.

⇒ 4x^2 - (6 + 2)x + 3 = 0

⇒ 4x^2 - 6x - 2x + 3 = 0

⇒ 2x(2x - 3) - (2x - 3) = 0

⇒ (2x - 3)(2x - 1) = 0

⇒ 2x - 3 = 0     or 2x - 1 = 0

⇒ x = (3/2)     or  x = (1/2)