SAT: Nonlinear Systems Glossary
8 essential terms — because precise language is the foundation of clear thinking in SAT: Nonlinear Systems.
Showing 8 of 8 terms
The expression $b^2 - 4ac$ from the quadratic formula, which determines the number and type of roots.
A point that lies on both curves in a system, found by solving the system simultaneously.
A system of equations where at least one equation is not linear (e.g., contains $x^2$, $\frac{1}{x}$, or $|x|$).
An equation of the form $ax^2 + bx + c = 0$ where $a \neq 0$.
A method for solving systems by expressing one variable in terms of the other and substituting into the second equation.
A line that touches a curve at exactly one point without crossing it at that location.
The form $y = a(x - h)^2 + k$ of a quadratic, where $(h, k)$ is the vertex.
Relationships between the coefficients and roots of a polynomial: for $ax^2 + bx + c = 0$, sum $= -b/a$ and product $= c/a$.