SOLUTION: Find all real values of $s$ such that $x^2 + sx + 144

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

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) (Show Source): You can put this solution on YOUR website!
.
Find all real values of s such that x^2 + sx + 144 - 44 is the square of a binomial.
~~~~~~~~~~~~~~~~~~~~~~~~~

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  .


    (b)  s = -20;  then the polynomial (1)  is this square  .

Solved.

RELATED QUESTIONS
Find all real values of s such that x^2 + sx + 144 - 6x + 3x^2 is the square of a... (answered by greenestamps)

Find the missing term so that each expression is the square of a binomial x^2+_______... (answered by ankor@dixie-net.com)

For what real values of c is x^2 - 8x - 16x + c + 24x^2 the square of a... (answered by Edwin McCravy)

Find all real values of p such that 2(x+6)(x-p)\] has a minimum value of -4 over all... (answered by ikleyn)

Find the constant p such that x^2 - 5x - 14x + x^2 + p is the square of a... (answered by ikleyn)

Find all the values of x such that for the real number a, the following is true. y = sin (answered by ikleyn)

Find all real values of x such that f(x)=0 f(x)=49x^2-9 (answered by jim_thompson5910)

Find all the real values of x such that f(x)= 0 f(x)=(12-x^2)/5. (answered by Fombitz)

Find all real values of t that satisfy the equation (t^2 - 13)^2 = 144 +... (answered by Edwin McCravy)