Question

write a quadratic equation whose sum and product of zeros is -5 and 2 respectively
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Answer 1

Step-by-step explanation:

alpha + beta = -5

alpha×beta= 2

Quadratic equation = x^2 + ( alpha+beta)x + (alpha×beta)

x^2 - 5x + 2

Answer 2

Given :-

• Sum of zeroes = -5
• Product of zeroes = 2

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To find :-

• Quadratic equation.

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Solution :-

• Let the zeroes of the quadratic equation be α and ß.

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❏ Sum of zeroes (α + ß) = -5

❏ Product of zeroes (αß) = 2

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Since, the standard form of a quadratic equation is x² - (α + ß)x + (αß).

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Now, by substituting the values

★ Required quadratic equation

• x² - (-5)x + 2
• x² + 5x + 2

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Hence,

• The required quadratic equation is x² + 5x + 2 .