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
Explain this statement " As we begin the 21st century, the dilemmas of America's minority groups remain perhaps the primary unresolved domestic issue facing the nation." How might

We know that 2 4 = 16 and also that 2 is referred to as the base, 4 as the index or power or the exponent. The same if expressed in terms of logarithms would be log 2

A computer is programmed to scan the digits of the counting numbers.For example,if it scans 1 2 3 4 5 6 7 8 9 10 11 12 13 then it has scanned 17 digits all together. If the comput

suppose you a business owner and selling cloth. the following represents the number of items sold and the cost for each item. use matrix operation to determine the total revenue ov

I need to know how to get the power ball odds. the first one 5 out of 59 plus 1 out of 35 I got .I did combination formula and it came out right. how do you get 5 out 0f 59 and get

How to find total no. of unordered pairs of disjoint subsets of a finite set? Solution) Suppose A and B are two such disjoint subsets of the set S. Then every element can go into

what are the dimensions of the box that can be made if squares of x cm by x cm is cut off from 20cm by 20cm square paper

Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal roots then b = ? Ans: Condition that a quadratic equation ax² + bx + c = 0 has equal roots is: Its discriminant, b² - 4ac = 0 A

Integration variable : The next topic which we have to discuss here is the integration variable utilized in the integral. In fact there isn't actually a lot to discuss here other