The sum- and product - of zeros of polynomial 2 x 2- x -5 is A- -1-2-5-2B- -1-2-5-2C- -1-2-5-2D- -1 -5

The correct option is A α+β =12 αβ = 5 2Given, 2x^2 x+5 nbsp; We know, ax^2+bx+c Sum of zeroes, α+β= b a Product of zeroes, αβ = c a a = 2; b = 1; c = ...

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Standard X

Mathematics

Relationship Between Zeroes and Coefficients of a Quadratic Polynomial

The sumα+β an...

Question

The sum $(α + β)$ and product $(α β)$ of zeros of polynomial $2 x^{2} - x + 5$ is _______

α + β = \frac{1}{2} α β = \frac{5}{2}

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α + β = \frac{- 1}{2} α β = \frac{5}{2}

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α + β = \frac{1}{2} α β = \frac{- 5}{2}

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α + β = 1 α β = 5

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Solution

The correct option is A $α + β = \frac{1}{2} α β = \frac{5}{2}$
Given, $2 x^{2} - x + 5$
We know, $a x^{2} + b x + c$
Sum of zeroes, $α + β = \frac{- b}{a}$

Product of zeroes, $α β = \frac{c}{a}$

$a = 2; b = - 1; c = 5$
$α + β = \frac{- (- 1)}{2} = \frac{1}{2} α β = \frac{5}{2}$

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The sum(α+β) and product(αβ) of zeros of polynomial 2x2−x+5 is _______

The correct option is A α+β=12 αβ=52Given, 2x2−x+5 We know, ax2+bx+c Sum of zeroes, α+β=−ba Product of zeroes, αβ=ca a=2; b=−1; c=5 α+β=−(−1)2=12αβ=52

The sum $(α + β)$ and product $(α β)$ of zeros of polynomial $2 x^{2} - x + 5$ is _______

The correct option is A $α + β = \frac{1}{2} α β = \frac{5}{2}$
Given, $2 x^{2} - x + 5$
We know, $a x^{2} + b x + c$
Sum of zeroes, $α + β = \frac{- b}{a}$

Product of zeroes, $α β = \frac{c}{a}$

$a = 2; b = - 1; c = 5$
$α + β = \frac{- (- 1)}{2} = \frac{1}{2} α β = \frac{5}{2}$