SOLUTION: Find all real values of $s$ such that $x^2 + sx + 144 - 44$ is the square of a binomial.

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Question 1205506: Find all real values of $s$ such that $x^2 + sx + 144 - 44$ is the square of a binomial.
Answer by ikleyn(52925) About Me  (Show Source):
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Find all real values of s such that x^2 + sx + 144 - 44 is the square of a binomial.
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The given polynomial is identical to this standard form of a quadratic polynomial

    x^2 + sx + 100.    (1)



It is the square of a binomial in these two cases:


    (a)  s = 20;   then the polynomial (1)  is this square  %28x%2B10%29%5E2.


    (b)  s = -20;  then the polynomial (1)  is this square  %28x-10%29%5E2.

Solved.