Find a quadratic polynomial having a and ß, Mathematics

Assignment Help:

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)


Related Discussions:- Find a quadratic polynomial having a and ß

Alternate notation of derivative, Alternate Notation : Next we have to dis...

Alternate Notation : Next we have to discuss some alternate notation for the derivative. The typical derivative notation is the "prime" notation. Though, there is another notation

Trigonometry 2, three towns are situated in such away that town B is 120 ki...

three towns are situated in such away that town B is 120 kilometers on a bearing of 030 degrees from town A. Town C is 210 kilometers on a bearing of 110 degrees from town A (a)ca

Interpretations of derivatives, Interpretations of derivatives. Exampl...

Interpretations of derivatives. Example:   Find out the equation of the tangent line to                                       x 2 + y 2   =9 at the point (2, √5 ) .

Differntial equation, Verify Liouville''''s formula for y "-y" - y'''' + y ...

Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?

How many ways can dvds be arranged on a shelf, How many ways can 4 DVDs be ...

How many ways can 4 DVDs be arranged on a shelf? Solution: There are 4 ways to choose the first DVD, 3 ways to choose the second, 2 ways to choose the third and 1 way to choo

Basic differential equation, Two 1000 liter tanks are containing salt water...

Two 1000 liter tanks are containing salt water. Tank 1 has 800 liters of water initially having 20 grams of salt dissolved in this and tank 2 has 1000 liters of water and initially

Permutations and combinations, Consider this. You have four units A, ...

Consider this. You have four units A, B, C and D. You are asked to select two out of these four units. How do you go about this particular task? Will your methodo

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd