Solve Quadratic Equations Using Discriminants (2)
A tutorial on using the discriminant and the quadratic formula to determine the number and nature of the solutions to the quadratic equations. Questions with detailed solutions and explanations are included. This is a continuation of tutorial (1) on quadratic equations. More questions with answers are at the bottom of this page. Also included in this website, a Step by Step Quadratic Equation Solver.
Question 1 :Find all values of the parameter m in the quadratic equationx ^{2} + m x + 1 = 0
Solution to Question 1:
Matched Question 1:Find all values of the parameter m in the quadratic equationx ^{2} + x + m + 1 = 0
More Questions.(see answers below)For what value of m the following quadratic equation has no real solutions? a) 2x^{ 2} + mx + 2 = 0 For what value of m the following quadratic equation has two real solutions? b) x^{ 2} + (1/m) x = -1 For what value of m the following quadratic equation has one solution? c) x^{ 2} + m = 0
Answers to Above Questions.a) m in the interval (- 4 , 4) b) m in the intervals (- 1/2 , 0) U (0 , 1/2) c) m = 0
More References and linksSolve Equations, Systems of Equations and Inequalities.Step by Step Quadratic Equation Solver. Tutorial on Equations of the Quadratic Form. Equations with Rational Expressions - Tutorial. |