Question

Solve using completing the square method 12 x square + 7 x square - 12 is equals to zero​

Answer 1

Answer:

  x = -4/3  or  3/4

Step-by-step explanation:

To solve the equation by completing the square, it is convenient to have the leading coefficient be 1. Accordingly, we divide the equation by 12:

  x^2 +7/12x -1 = 0

Add the constant.

  x^2 +7/12x = 1

Add the square of half the x-coefficient.

  x^2 +7/12x +49/576 = 1 +49/576

Write the left side as a square; simplify the right side.

  (x +7/24)^2 = 625/576

Take the square root.

  x +7/24 = ±25/24

  x = (-7 ±25)/24

  x = -4/3  or  3/4

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These solutions suggest the equation could be factored as ...

  (3x +4)(4x -3) = -0