Question 1205506
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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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<pre>
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  {{{(x+10)^2}}}.


    (b)  s = -20;  then the polynomial (1)  is this square  {{{(x-10)^2}}}.
</pre>

Solved.