MAT129 Fall 2025 Notes mathnstuff.com/math/precalc/MAT129fa25/p.3.htm © 2025   A2, Agnes Azzolino Solving Quadratic and Rational inequalities. Text 2.7, PG. 142

Welcome to Precalc! Old + New = Even More Powerful Hi,     Take the algebra II from high school and the precalc review from last class and see how the math may be used to solve more advanced equations.     Contact me through the pink box on www.mathnstuff.com/math/math.htm or with the phone number on your class CANVAS home page.     Stay safe, A2

	Quadratic Equation Solver is at the bottom of the page.
See: 
	2.7, pg 142 in m129.ch2to4.1.fa24.pdf		
2.7 - Linear Inequalities and Absolute Value Inequalities -- Solving Quadratic and Rational inequalities, pg. 142,  Learning Objectives
	* Use interval notation.
	* Use properties of inequalities.
	* Solve inequalities in one variable algebraically.
	* Solve absolute value inequalities.

• "Fishing for the Answer?" -- Solve Equations Graphically:     questions,     answers,     easy print pdf

If ax² + bx + c = 0 then x = , the roots are:  x = and x = .

1st: Enter a, b, and c.   The sign is included in the value of the constant.   x² + x + = 0   2nd: Use the a,b,, and c to compute the discriminanat.             b² - 4ac ()² - 4 () ()   3rd: To determine the number and kind of root, , b² - 4ac . discriminant is     number of roots     kind of roots zero, b² - 4ac = 0 1 real (double) positive, b² - 4ac > 0 2 real negative, b² - 4ac < 0 2 complex   4th: Replace variables as required.     becomes - ± ()         2 5th: Factor and reduce if possible. 6th: If the discriminant is negative, restate in terms of  i , (-1).       If the discriminant is negative, the roots are complex, and this page can not display the complex number. The output will be "NaN." 7th: Press for the root =   8th: Press for the root =