Question

If Discriminant > 0 :

What is "m" in ( 2x^2 + 4x + 1 - 3m=0) ?




​

Answer 1

The given equation is in the form ax^2+bx+c = 0 with

• a = 2
• b = 4
• c = 1-3m

D = discriminant

D = b^2 - 4ac

D = 4^2 - 4(2)(1-3m)

D = 16 - 8(1-3m)

D = 16 - 8 + 24m

D = 24m + 8

D > 0

24m + 8 > 0

24m > -8

m > -8/24

m > -1/3

As long as m is larger than -1/3, then the discriminant is positive. There are infinitely many solutions to pick from.