Question

determine the value of m so that the equation x^2-4x+(m-4)=0 has equal roots

Answer 1

Step-by-step explanation:

ANSWER

The given equation is 5x

2

−4x+2+m(4x

2

−2x−1)=0

The standard quadratic equation is ax

2

+bx+c=0

For roots to be equal ⇒b

2

−4ac=0

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.

∴(4+2m)

2

−4(5+4m)(2−m)=0

=>5m

2

+m−6=0

=>(m−1)(5m+6)=0

∴m=1,−6

5