Problema Solution

Find a negative real number such that the square of the sum of the number and 12 is equal to 1444. (If there are two correct answers, either answer can be entered.)

Answer provided by our tutors

Let 'x' represent the negative real number, that is x<0.

(x + 12)^2 = 144

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click here to see the equation solved for x

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x = - 24 (we need to ignore the solution x = 0 since x is negative)

Indeed:

(- 24 + 12)^2 = 12^2 = 144

The negative real number is -24.