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(suggested new terminology)
Definition. The Texas Two-Step is the following first three lines of the derivation of the quadratic formula:
ax^2 + bx + c = 0; a != 0
x^2 + (b/a)x + c/a = 0
x^2 + (b/a)x = -c/a
Definition. The quantity -c/a in the derivation of the quadratic formula is called the troublemaker.
keywords: quadratic equation, handle