Question

Form a quadratic equations whose sum and product of roots are -7 and 18 respectively

Answer 1

Answer:

Hey mate

Step-by-step explanation:

Here is ur solution...

alpha+beta=-7

and alphabeta=18

So,Standard form:x²-(sum of zeroes)x+(product of zeroes)

x²+7x+18=0

Hope it help

Mark as brainliest....

Answer 2

The quadratic equation is x² + 7x + 18 = 0

Given:

Sum of the roots = -7

Product of the roots = 18

To find:

Quadratic equation with sum  and product of the roots  

Solution:

Let α and β be the roots then

sum of the roots (α + β) = -7

Product of the roots  αβ = 18  

General form of any quadratic equation with sum and product of the roots is given by  x² - (α + β) x + αβ = 0

Required equation = x² - (α + β) x + αβ = 0

⇒ x² - (-7)x + 18 = 0  

⇒ x² + 7x + 18 = 0  

Therefore, the quadratic equation is x² + 7x + 18 = 0

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