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

Brewery has 12 oz bottle filling machines.  Amount poured by machine is normal distribution mean 12.39 oz  SD 0.04 oz. Company is interested in in reducing the amount of extra beer

Classifying critical points : Let's classify critical points as relative maximums, relative minimums or neither minimums or maximums. Fermat's Theorem told us that all relative

Download the data on Gas Mileage.  This is a sample of 81 passenger cars with information about gas consumption and other technical details.     a.        Estimate the following

Devise data that link a certain relationship OF YOUR CHOOSING between two variables. Write a rationale stating why you chose this particular data and what you are planning to STAT

Solve the subsequent LP problem graphically through enumerating the corner points. MAX:              3X1 + 4X2 Subject to:    X1   12                     X2    10

Evaluate following limits. Solution Let's begin with the right-hand limit.  For this limit we have, x > 4  ⇒          4 - x 3   = 0      also, 4 - x → 0  as x → 4

In figure, O is the centre of the Circle .AP and AQ two tangents drawn to the circle. B is a point on the tangent QA and ∠ PAB = 125 ° , Find ∠ POQ. (Ans: 125 o ) An s:

I need help in my homework

construction of tangent when center not known