Question

Rewrite the equation by completing the square. 4 x^{2} -12 x +9 = 04x 2 −12x+9=0

Answer 1

Answer:

  (2x -3)^2 = 0

Step-by-step explanation:

In this particular instance, the square is already complete. The rewrite is to show that.

  (2x -3)^2 = 0

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In the general case, ...

  (ax +b)^2 = a^2x^2 +2abx +b^2

Comparing this form to the given left-side expression, we see that ...

  a = 2, b = -3

So, the trinomial is already a perfect square trinomial.