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

Geometry, #question.prove that the diagonals of a trapezium divide each oth...

#question.prove that the diagonals of a trapezium divide each other proportionally .

Example of graphing equations, Example of Graphing Equations: Example...

Example of Graphing Equations: Example: By using the above figure, find out the distance traveled if the average speed is 20 mph and the time traveled is 40 minutes. T

Determine if the following sequences converge or diverge, Determine if the ...

Determine if the following sequences converge or diverge.  If the sequence converges find out its limit. a. {3n 2 - 1 / 10n + 5n 2 } ∞ n =2 b. {e 2n / n} ∞ n =1 c

Solving whole-number riddles, I am greater than 30 and less than 40. The su...

I am greater than 30 and less than 40. The sum of my digits is less than 5. who am I?

Recognize the intervals for function h ( x ) = 3x5 - 5x3 + 3, For the given...

For the given function recognize the intervals where the function is increasing and decreasing and the intervals where the function is concave up & concave down. Utilizes this info

Trigonometry, if theta is a positive acute angle and 2sin theta +15cos squ...

if theta is a positive acute angle and 2sin theta +15cos square theta=7 then find the value of cot theta

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