Show that the roots of the equation x 2 + (k - 2)x - 2k = 0
Question:
Show that the roots of the equation x2 + (k - 2)x - 2k = 0 are real and distinct for all real values of k.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
Two distinct roots means the discriminant is greater than zero The discr...View the full answer
Answered By
MORINKE KUDAOS
I am an educator that has the necessary abilities and expertise owing to extensive interaction with students. I present answers to a variety of problems with step-by-step explanations, a well-thought-out strategy, and an easily understood breakdown. My objective is to teach students more easy methods and comprehension so that they may attain more success.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
Show that the roots of the equation kx 2 + 5x - 2k = 0 are real and distinct for all real values of k.
-
Show that the roots of a polynomial with real coefficients are real of form complex-conjugate pairs. The inverse is not true, in general.
-
Use a graph to approximate the roots of the equation x2 4 x2 = 2 x. Then approximate the area bounded by the curve y = x2 4 x2 and the line y = 2 x.
-
What are the lessons of the 1997 Asian financial crisis? Were the IMF supported adjustment programs successful in their objective? Were there flaws in their design?
-
Write some interviewer instructions for in-home personal interviews to be conducted by students.
-
Why should the auditor ordinarily disclaim an opinion when the client imposes significant limitations on the audit procedures?
-
Creusot-Loire, a French company, was the project engineer for the construction of ammonia plants in former Yugoslavia and Syria. Creusot-Loire contracted with Coppus Engineering for the purchase of...
-
Alexa is the popular virtual assistant developed by Amazon. Alexa interacts with users using artificial intelligence and voice recognition. It can be used to perform daily tasks such as making to-do...
-
Kazibwe, a businessman does not maintain a complete set of books for his business transactions. The following is a summary of his cash transactions for the year ended December 31, 2015. Receipts Kshs...
-
James A. and Ella R. Polk, ages 70 and 65, respectively, are retired physicians who live at 3319 Taylorcrest Street, Houston, Texas 77079. Their three adult children (Benjamin Polk, Michael Polk, and...
-
Find the set of values of m for which the line y = mx - 2 cuts the curve y = x 2 + 8x + 7 in two distinct points.
-
Solve the following simultaneous equations. y = 2x x 2 + 3xy = 3
-
Consider the following class declaration: class Golfer { private: char * fullname; // points to string containing golfer's name int games; // holds number of golf games played int * scores; // points...
-
For how long must a paid preparer maintain copies of client returns?
-
Write a for loop that prints numVal ... -1 0. Ex: If the input is: -3 the output is: -3 -2 -1 0 public class ForLoops { public static void main (String [] args) { int numVal; int i; Scanner input =...
-
Do you think they are a good for employees? Do you have experiences in a union or non-union environment that you would like to share? Is the military really a union in disguise?
-
The following provides details on your final assignment. Refer to the instructions below & rubric for assignment expectations. Although basic framework and theory of Training & Development within...
-
Michael's Soda Shoppe has depreciation expense of $1,250.00 at the end of the fiscal year. What is the entry to journalize the depreciation expense?
-
Over the years, the market demand for "long-playing records made of polyvinyl has fallen considerably as new technologies replaced the old "LP." Yet, LPs are still available for sale and they sell at...
-
In your audit of Garza Company, you find that a physical inventory on December 31, 2012, showed merchandise with a cost of $441,000 was on hand at that date. You also discover the following items...
-
The curve and the line 3x 4y + 3 = 0 intersect at the points P and Q. Find the length of PQ. y = 3x-2
-
The distance between two points, P(a, 1) and Q(5, a), is 4 5. Find the two possible values of a.
-
A is the point (a, 3) and B is the point (4, b). The length of the line segment AB is 45 units and the gradient is 1/2. Find the possible values of a and b.
-
12. Is the following unbalanced reaction thermodynamically favorable? Why or why not? 2+ 2+ +
-
1. What factors are most likely to influence an adolescent's response when experiencing peer pressure to experiment with alcohol or drugs? What role do parents play? 2. The book discusses the...
-
Does the personal psychology of someone determine the diverse populations to which the person will belong?
Study smarter with the SolutionInn App