Question

2) Write the quadratic equation if the sum of its roots is -10 and product is 21.
(Use y for variable)​

Answer 1

Answer: y^2 - 10y+ 21

Explanation: if you are given any two roots of a quadratic equation , you can find the equation by the formula

x^2-( sum of roots)x + product of roots

Answer 2

The required quadratic equation is $x^2+10x+21=0$.

Explanation:

The quadratic equation is given by :-

$x^2-Sx+P=0$

, where S = Sum of roots

P= Product of roots

As per given , we have

The sum of roots = -10

The product of roots = 21

Then, our quadratic equation becomes :

$x^2-(-10)+21=0\\\\ x^2+10x+21=0$

Hence, the required quadratic equation is $x^2+10x+21=0$.

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