Respuesta :
b^2 - 4ac = 0
12^2 - 4m(9m) = 0
144 = 36m^2
m^2 = 4
m = ± 2
Hope This Helps!
-TyyBenjii
Answer:
The value of m would be 2 or - 2.
Step-by-step explanation:
Since, a quadratic equation [tex]ax^2+bx+c[/tex] has two different real roots,
If [tex]b^2-4ac> 0[/tex]
It has two equal real roots,
If [tex]b^2-4ac=0[/tex]
While it has two different complex roots,
If [tex]b^2-4ac<0[/tex]
Here, the given equation is,
[tex]mx^2+12x+9m=0[/tex]
By comparing,
a = m, b = 12 and c = 9m,
By the above properties,
For equal roots,
[tex](12)^2-4(m)(9m)=0[/tex]
[tex]144-36m^2=0[/tex]
[tex]-36m^2 = -144[/tex]
[tex]m^2 = 4\implies m\pm 2[/tex]
Hence, the value of m would be 2 or - 2.
