if α&βare the zeros of the quadratic polynomial 2x^2 -4x+5 find the α^2+β^2...

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KeerthiBalaji @KeerthiBalaji

August 2021 1 3 Report

if α&βare the zeros of the quadratic polynomial 2x^2 -4x+5 find the α^2+β^2

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Verified answer

Α and β are the roots of the quadratic polynomial 2x² - 4x + 5 .

so, sum of roots = α + β = -(coefficient of x)/coefficient of x²
α + β = -(-4)/2 = 2 ------(1)

product of roots = αβ = constant /coefficient of x²
αβ = 5/2 -------(2)

now, α² + β² = (α + β )² - 2αβ
= 2² - 2 × 5/2
= 4 - 5
= -1

hence, α² + β² = -1

KeerthiBalaji thank you

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