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
Method In this method we eliminate either x or y, get the value of other variable and then substitute that value in either of the original equations to

The digraph D for a relation R on V = {1, 2, 3, 4} is shown below (a) show that (V,R) is a poset. (b) Draw its Hasse diagram. (c) Give a total order that have R.

When Ms. Jones retired, she received a lump sum of $1,000,000 from her pension plan.  She then invested this sum in an annuity account that would pay her an equal amount at the end

In Daniel's fifth grade class, 37.5% of the 24 students walk to school. One third of the walkers got a ride to school presently from their parents. How many walkers got a ride to s


Equation for the given intervaks in the intervaks, giving ypout answer correct to 0.1 1.sin x = 0.8 0 2. cos x =-0.3 -180 3.4cos theta- cos theta=2 0 4. 10tan theta+3=0 0

The augmented matrix from a system of linear equations has the following  reduced row-echelon form (a)  How many equations are there in the system?  (b)  How many variab


The following graph shows the growth of the median home value in a particular region of the United States starting in 1996.  The graphs starts in 1996 and shows the trend through t

Partial Fraction Decomposition The procedure of taking a rational expression and splitting down it into simpler rational expressions which we can add or subtract to get the ori