Question

If the equation

2 + 2 + = 0 has two distinct roots if

(a) = ± 1 (b) a = 0 (c) a = 0, 1 (d) a = –1, 0​

Answer 1

Answer:The distinct roots for the given quadratic equation is a=-1,0

Step-by-step explanation:

Given quadratic equation is  

To find which is the distinct roots for the given quadratic equation :

Comparing the given equation with general quadratic form ,

we have A=a, B=2 and C=a

Also given that the given quadratic equation has distinct roots

Therefore we have that, D>0

Hence  ( if roots are distinct )

Substitute the values we get

Rewritting we get

For a < 1 the given quadratic equation has distinct and real roots

That is "a" must be -1 and 0

Therefore the option D) a=-1,0 is correct

Step-by-step explanation: