Discriminant(D) is given by D = b2−4ac
Let's find the 'D' for each of the given equations.
1. x2+4x+4=0
Using Discriminant formula, we have
D = 42−4(1)(4) = 16-16 = 0
2. 10x2+6x+2=0
Using Discriminant formula, we have
D=62−4(10)(2) = 36-80 = -44
⇒ D<0
3. x2+7x+1=0
Using Discriminant formula, we have
D = 72−4(1)(1) = 49-4 = 45
⇒ D>0
4. 2x2+5x+1=0
Using Discriminant formula, we have
D = 52−4(2)(1) = 25-8 = 17
⇒ D>0