jazleen0409 jazleen0409
  • 16-01-2019
  • Mathematics
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The square of a certain number is 4 less than 4 times that same number. What is the value of the number?

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altavistard
altavistard altavistard
  • 16-01-2019

Answer:

2

Step-by-step explanation:

Let the number be n.

Then n^2 = 4n - 4.

Rewriting this in the standard form of a quadratic equation, we get

n^2 - 4n + 4 = 0, or (n - 2)(n - 2)= 0.  Only the positive root, n = 2, "works" here.

Check:  The square of 2 is = 4(2) - 4 is TRUE.    The number is 2.

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