Question

How to write a quadratic equation given the sum and product of the roots?

Answer 1

Hello..

= TO write a quadratic equation from sum and ptoduct use have to do this that is mentioned in the given pic.

Answer 2

Answer:

x² - (sum of roots)x + (product of roots)

Step-by-step explanation:

Let equation be ax² + bx + c

Let the roots are e and f.

Now, the quadratic equation becomes:

a(x − e)(x − f)  

Expand a(x − e)(x − f):

=> a(x² − ex − fx + ef)

=> ax² − a(e + f)x + a(ef)

This shows that when the sum and product of the roots are given, a quadratic equation can be written as x² - (sum of roots)x + (product of roots).