Question

if alpha and beta are the zeros of the quadratic polynomial 2 x square - 5 x + 8 then find the value of Alpha square plus beta square

Answer 1

Hello Dude !!

♠ Here is your answer ♠

2X² - 5X + 8

Here,

A = Coefficient of X² = 2

B = Coefficient of X = -5

And,

C = Constant term = 8

Sum of zeroes = -B/A

Alpha + Beta = 5/2 ----------(1)

And,

Product of zeroes = C/A

Alpha × Beta = 8/2 = 4 -------(2)

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Alpha² + Beta²

=> ( Alpha + Beta )² - 2 × Alpha × Beta

=> ( 5/2)² - 2 × 4

=> 25 /4 - 8

=> 25 - 32/4

=> -7/4

Answer 2

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