Find the value a2 + ß2 and (a - ß)2, Mathematics

Assignment Help:

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

 


Related Discussions:- Find the value a2 + ß2 and (a - ß)2

Parallelograns, Find x and y in each paarallelogram.

Find x and y in each paarallelogram.

Find the largest possible positive integer, Find the largest possible posit...

Find the largest possible positive integer that will divide 398, 436, and 542 leaving remainder 7, 11, 15 respectively. (Ans: 17) Ans: The required number is the HCF of the n

Triangles, ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lr...

ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lrt p be the length of the perpendicular from C on AB. prove that cp=ab and 1/p2=1/a2+1/b2

Alegrabra, how do you do algebra with division

how do you do algebra with division

Triangulos rectangulos y no rectangulos, el extremo de un poste que partió ...

el extremo de un poste que partió 8.45 metros de la base del poste y forma con el suelo un angulo de 40 grados 28 minutos.hallar la altura original del poste

Illustration of rank correlation coefficient, Illustration of Rank Correlat...

Illustration of Rank Correlation Coefficient In a beauty competition two assessors were asked to rank the 10 contestants by using the professional assessment skills. The resul

Real constant and difference equation, Derive for the filter from z=a and p...

Derive for the filter from z=a and poles at z=b andz=c, where a, b, c are the real constants the corresponding difference equation. For what values of parameters a, b, and c the fi

Create a circular table with no restrictions, 1. Four different written dri...

1. Four different written driving tests are administered by a city. One of these tests is selected at random for each applicant for a drivers license. If a group of 2 women and 4 m

Explain comparing fractions with example, Explain Comparing Fractions with ...

Explain Comparing Fractions with example? If fractions are not equivalent, how do you figure out which one is larger? Comparing fractions involves finding the least common

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