Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Quadratic Formula and the Number of Real Zeros
Document related concepts
Automatic differentiation wikipedia , lookup
Structure (mathematical logic) wikipedia , lookup
System of linear equations wikipedia , lookup
Cubic function wikipedia , lookup
Quartic function wikipedia , lookup
Factorization wikipedia , lookup
History of algebra wikipedia , lookup
Elementary algebra wikipedia , lookup
System of polynomial equations wikipedia , lookup
Fundamental theorem of algebra wikipedia , lookup
Transcript
QUADRATIC FORMULA Quadratic Formula provides solutions to a quadratic equation, i.e. provides values for the zeros of a quadratic function. f ( x) b x1 b2 2a Let’s introduce a symbol ax 2 4ac bx c x2 0 b b2 2a 4ac b2 (read: delta) to denote a discriminant 4ac It determines the number of real solutions of a quadratic equation. y 0 x No real solutions. X1 and X2 are complex numbers (non-real). ______________________________________________________________________ 0 y One real solution. x X1 = X2 is a real number. ______________________________________________________________________ 0 y Two real solutions. x X1 X2 are real numbers. By Joanna Gutt-Lehr, Pinnacle Learning Lab, last updated 1/2007
