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If alpha and beta are the zeros of a quadratic polynomial such that alpha + beta =24 and alpha - beta =8 find quadratic polynomial having Alpha and beta as its zeros

Posted by Kalpana Yadav 6 years, 2 months ago

CBSE > Class 10 > Mathematics

4 answers

Suhani Hotwani 6 years, 2 months ago

Alpha and beta are 2 zeros , so alpha + beta = 24 (equation…1) And, alpha - beta = 8 (equation…2) By elumination method, Alpha is 16 and beta is 8 Now putting in formula X*2-(alpha + beta ) +( aplha multiply by beta) We get, x*2 - 24x + 128 Solved!!!!!!!

Adarsh Singh 6 years, 2 months ago

aata na jaata jai bharat maata

Aadya Singh ? 6 years, 2 months ago

So, equation => x^2 - 24x + 128 = 0

Aadya Singh ? 6 years, 2 months ago

Alpha + beta = 24 .....(1) , alpha - beta = 8 .....(2) . Solving (1) and (2) , we get, alpha = 16 and beta = 8 . Then, equation is = x^2-(alpha + beta)x + alpha×beta = 0 => x^2- (16+8)x + 16×8 = 0 => x^2 - 24x + 128= 0 .

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