Question

Find root by completing the square 3x^2-5x+2=0

Answer 1

Answer:

The equation shown here is a quadratic expression.

Therefore, -5x should be split into two parts by finding the factors of 3 x 2 (i.e. 6) which add up to five.

-3 x -2 = 6

-3 + -2 = -5

Therefore, 3x^2 - 5x + 2 = 3x^2 - 3x - 2x + 2

= 3x (x - 1) - 2 (x - 1)

= (x - 1)(3x - 2)

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