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The square of a number is 12 more than the number. Find the value of the number. Show steps!

Respuesta :

devishri1977

Answer:

4 or (-3)

Step-by-step explanation:

x² = x + 12

x² - x -12 = 0

Sum = -1

Product = -12

Factors = (-4), 3

x² - x  - 12 = x² - 4x +3x - 4 *3

                = x(x - 4) + 3(x - 4)

                = (x - 4) (x + 3)

x - 4 = 0    ; x + 3 = 0

x = 4         ; x = -3

The number is: 4  or (-3)

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