Find a quadratic polynomial having a and ß, Mathematics

If α,β are the zeros of a Quadratic polynomial such that α + β = 24, α - β = 8. Find a Quadratic polynomial having α and β as its zeros.                                                                                                                                  (Ans: k(x2- 24x + 128))

Ans:    α+β = 24

         α - β = 8

         -----------

          2α = 32

α = 32/2 = 16, ∴ α = 16

Work the same way to α+β = 24

So, β = 8

Q.P is x2 - (sum) x + product

= x2 - (16+8) x + 16 x 8

Solve this,

it is k (x2 - 24x + 128)

Posted Date: 4/8/2013 1:59:50 AM | Location : United States







Related Discussions:- Find a quadratic polynomial having a and ß, Assignment Help, Ask Question on Find a quadratic polynomial having a and ß, Get Answer, Expert's Help, Find a quadratic polynomial having a and ß Discussions

Write discussion on Find a quadratic polynomial having a and ß
Your posts are moderated
Related Questions
How to construct a histogram into an ogive

Computation method           Whereas L = Lower class boundary of the class having the mode             f 0 = Frequency of the class below the modal class

Standard errors of the mean The series of sample means x¯ 1 , x¯ 2 , x¯ 3 ........ is normally distributed or nearly so as according to the central limit theorem. This can be

Evaluate following integrals.  (a) ∫ 3e x + 5 cos x -10 sec 2   x dx  (b) ( 23/ (y 2 + 1) + 6 csc y cot y + 9/ y dy Solution (a)    ∫ 3e x + 5 cos x -10 sec 2 x

steps to draw direction or slope fields

A class has 175 learners. The given table describes the number of learners studying one or more of the subsequent subjects in this case                 Subjects

States the negation of the statement ∀x ∃y (xy = 1) so that no negation precedes a quantifier. Ans: The negation of the following statement is written as ~ [∀x ∃y (xy = 1)]. An


seven more than a number is less than or equal to -18

Graph y = cos (x) Solution: There actually isn't a whole lot to this one.  Given the graph for -4 ? ≤ x ≤ 4 ? . Note that we can put all values of x in cosine (that wo