Question

Sum of roots=-7, Product of roots =5,,, Quadratic equation =???

Answer 1

x^2 - 7x + 5
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Answer 2

Given that

Sum of roots = (-7)
product of roots = 5

The concept :-

Each quadratic equation had its relation with the sum of the Zeroes and their product.
So,
The quadratic equation is always of the form :-

K(x²-(Sum of zeroes) x + product of zeroes.)

So,
Putting the values in this form

K(x²-(-7)x+5)
=k(x²+7x +5)

So ,.there can be numerous polynomials with the same sum and products .
So ,.you can obtain then by putting different values of k
So,
When k=1
P(x) = x²+7x+5

When k =2
P(x) = 2x²+14x+10

When k =5/7

P(x) = 5x²/7 + 5x +25/7