Question

root of a QE are - 5 and - 3 form the equation​

Answer 1

Answer:

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=3 and n=5, therefore,

The sum of the roots is:

m+n=3+5=8

And the product of the roots is:

m×n=3×5=15

Therefore, the required quadratic equation is

x

2

−(m+n)x+mn=0

⇒x

2

−8x+15=0

Hence, x

2

−8x+15=0 is the quadratic equation whose roots are 3 and 5.