Question

If the product of the roots of 5x^2 - 4x + 2 + m (4x^2 - 2x - 1) = 0 is 3 then m=

options:
1)0
2)-1
3)2
4)3​

Answer 1

Answer:

Refer to the attachment

Hope it helps you

Answer 2

Answer:

1 0

Step-by-step explanation:

The given equation is 5x

2

−4x+2+m(4x

2

−2x−1)=0

The standard quadratic equation is ax

2

+bx+c=0

And product of roots is, α

1

α

2

=

a

c

Let's write given equation in standard form

(5+4m)x

2

−(4+2m)x+(2−m)=0

Here, a=5+4m,b=−(4+2m),c=2−m.

Here, product of roots is 2.

⇒

4m+5

2−m

=2

⇒2−m=10+8m

∴m=

9

−8