Question

if the sum of the zeros of the polynomial mx^2+5x+8m is equal to the product of zeroes. Find the value of m

please find me the answer​

Answer 1

Answer:

In the given polynomial, 4x

2

−mx+1

a=4,b=−m,c=1

Relationship between zeroes and coefficient of the polynomial:

Sum of the zeroes =

Coefficient of x

2

Coefficient of x

=

a

−b

2=

4

−(−m)

2×4=m

∴m=8

Answer 2

Answer:

Answer

Given quadratic equation can be written as,

x

2

−(2m)x+(8m−15)=0

Now for equal roots, Discriminant =0

⇒b

2

−4ac=0

⇒(−2m)

2

−4(8m−15)=0

⇒m

2

−8m+15=0

⇒(m−3)(m−5)=0, factor

⇒m=3,5