The correct option is C cant be both positive α+β = k amp; αβ = k, if α,β are both positive α+β and αβ will always be of same sign, Hence both zeroes can't ...

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Standard X

Mathematics

Relationship Between Roots and Coefficients of Quadratic Equation

zeroes of x2+...

Question

zeroes of $x^{2} + k x + k$

cant be both positive

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cant be both negative

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always unequal

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always equal

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Solution

The correct option is A
cant be both positive

$α + β$ = -k & $α β$ = k, if $α, β$ are both positive $α + β$ and $α β$ will always be of same sign, Hence both zeroes can't be positive

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zeroes of x2+kx+k

The correct option is A cant be both positive α+β = -k & αβ = k, if α,β are both positive α+β and αβ will always be of same sign, Hence both zeroes can't be positive

zeroes of $x^{2} + k x + k$

The correct option is A
cant be both positive

$α + β$ = -k & $α β$ = k, if $α, β$ are both positive $α + β$ and $α β$ will always be of same sign, Hence both zeroes can't be positive