Question

what number added to 6 gives its own square in algebra​

Answer 1

Answer:

Let the number be x.

Now, as per the question,

x + 6 = x²

x² - x - 6 = 0

x² - 3x + 2x - 6 = 0

x(x - 3) +2(x - 3) = 0

(x-3)(x+2) = 0

x = -2,3

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