Question

Roots of a quadratic equation are 5 and -4 then form the quadratic equation​

Answer 1

Step-by-step explanation:

We know that if m and n are the roots of a quadratic equation ax

2

+bx+c=0, then the sum of the roots is (m+n) and the product of the roots is (mn). And then the quadratic equation becomes x

2

−(m+n)x+mn=0

Here, it is given that the roots of the quadratic equation are m=6 and n=−5, therefore,

The sum of the roots is:

m+n=6+(−5)=6−5=1

And the product of the roots is:

m×n=6×(−5)=−30

Therefore, the required quadratic equation is

x

2

−(m+n)x+mn=0

⇒x

2

−x−30=0

Hence, x

2

−x−30=0 is the quadratic equation whose roots are 6 and −5.