Math, asked by sukhjotkaur, 1 year ago

If alpha and beta are roots of polynomial p(x) = x2 -7x +10 then find value of alpha / beta + beta /alpha

swathinikil2: Is that 2x or x^2

sukhjotkaur: X^2

Answers

Answered by Rakshit7

Answer:

7/10

Step-by-step explanation:

p(x)= x²-7x+10

a=1. b= -7 c=10

Alpha +Beta =-b/a

=-(-7)/1

Alpha×beta = c/a

=10

Alpha/beta + beta /alpha

=Alpha² + beta² / Alpha×beta

=(alpha + beta )² - 2(alpha×beta) / alpha × beta

=(7)² - 2(10)/10

=49-20/10

=29/10

Hope it helped...

sukhjotkaur: Isnt it alpha square + beta square /alpha beta

Rakshit7: Oh sorry I forgot to write the square...

sukhjotkaur: Then answer ??

Rakshit7: I have written the answer

sukhjotkaur: No , alpha square +beta square = (alpha +beta )^2 -2alpha beta

sukhjotkaur: Won’t it be 29/10

Rakshit7: Yes you are right...if you know the answer then why did you asked??

sukhjotkaur: Didn’t knew beginning

Rakshit7: Ok

swathinikil2: Got the answer ahh

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