Math, asked by sai620, 1 year ago

find a quadratic polynomial the sum and product of whose zeros are zero minus root 2 respectively

Answers

Answered by Anonymous
33
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Attachments:
Answered by abdulraziq1534
1

Concept Introduction:-

It might resemble a word or a number representation of the quantity's arithmetic value.

Given Information:-

We have been given that the sum and product of whose zeros are zero minus root 2 respectively

To Find:-

We have to find that a quadratic polynomial the sum and product of whose zeros are zero minus root 2 respectively

Solution:-

According to the problem

sum of zeros=0

=-\sqrt{2}

Let \alpha and \beta be the zeroes

sum of zeros=0

\alpha +\beta =0

product of zeros=-\sqrt{2}

\alpha \beta=-\sqrt{2}

∴ A quadratic equation

x^2-(sum of zeros)x+(product of zeros)=0\\x^2-0+(-\sqrt{2})=0\\x^2-\sqrt{2}=0

Final Answer:-

The correct answer is x^2-\sqrt{2}=0.

#SPJ2

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