Find the value a2 + ß2 and (a - ß)2, Mathematics

If  α,β are the zeros of the polynomial 2x2 - 4x + 5 find the value of a) α2 + β2  b) (α - β)2.

Ans: p (x) = 2 x2 - 4 x + 5           (Ans: a) -1 , b) -6)

α + β = -b /a = 4/2 = 2

α β = c/a = 5/2

α2 + β2 = (α + β)2 - 2 α β

Substitute then we get, α 2+ β2 = -1

(α - β)2 = (α + β)2  - 4 α β

Substitute, we get  = (α - β)2  = - 6


Posted Date: 4/8/2013 1:38:07 AM | Location : United States

Related Discussions:- Find the value a2 + ß2 and (a - ß)2, Assignment Help, Ask Question on Find the value a2 + ß2 and (a - ß)2, Get Answer, Expert's Help, Find the value a2 + ß2 and (a - ß)2 Discussions

Write discussion on Find the value a2 + ß2 and (a - ß)2
Your posts are moderated
Related Questions
Jonestown High School has a soccer field whose dimensions can be expressed as 7y 2 and 3xy. What is the area of this field in terms of x and y? Since the area of the soccer ?e

Problem 1. Find the maximum and the minimum distance from the origin to the ellipse x 2 + xy + y 2 = 3. Hints: (i) Use x 2 + y 2 as your objective function; (ii) You c

I need help. Is there anyone there to help me?

Proof for Absolute Convergence Very first notice that |a n | is either a n or it is - a n depending upon its sign.  The meaning of this is that we can then say, 0 a n +

how do they solve log9 = ... 27

Describe Multiplication and Division Equations? Multiplication Equations :  To solve multiplication equations, divide both sides of the equation by the number being multiplie

Marvin is helping his teachers plan a ?eld trip. There are 125 people going on the ?eld trip and each school bus holds 48 people. What is the minimum number of school buses they wi

Mathematical Problem Solving In 1945, mathematician George Polya (1887-1985) published a book titled How To Solve It in which he demonstrated his approach to solving problems.

Write each of the given radicals in exponent form. Solution As illustrated in the last two parts of this example we have to be careful with parenthesis.  While we

find the unit rate. Round to the nearest hundredth in necessary 325 meters in 28 seconds