SOLUTION: Find a negative real number such that the square of the sum of the number and 21 is equal to 144 (If there are two correct answers, either answer can be entered.)

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Question 1135082: Find a negative real number such that the square of the sum of the number and 21
is equal to 144 (If there are two correct answers, either answer can be entered.)

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39630) About Me  (Show Source):
Answer by ikleyn(52915) About Me  (Show Source):
You can put this solution on YOUR website!
.
%28x%2B21%29%5E2 = 144  ===============> which implies two consequences to be considered:


a)  x+21 = sqrt%28144%29 = 12  ====>  x = 12 - 21 = -9.


b)  x+21 = -sqrt%28144%29 = -12  ====>  x = -12 - 21 = -33.


ANSWER.  The problem has TWO SOLUTIONS. They are the numbers -9 and -33.

Answered and solved.