Question

determine the equation of quadratic equation given its sum which is -10 and its product which is 25​

Answer 1

Step-by-step explanation:

We know that for a quadratic equation ax

2

+bx+c=0, the sum of the roots is −

a

b

and the product of the roots is

a

c

.

Here, the given quadratic equation x

2

−5x+8=0 is in the form ax

2

+bx+c=0 where a=1,b=−5 and c=8.

The sum of the roots is −

a

b

that is:

−

a

b

=−

1

(−5)

=5

The product of the roots is

a

c

that is:

a

c

=

1

8

=8

Hence, sum of the roots is 5 and the product of the roots is 8.