Question

if the equation ax2+2x+a=0 has two distinct root ,if​

Answer 1

Answer:

CORRECT QUESTION:

If the equation ax²+2x+a=0 has distinct roots,find the value of a.

Solution

Given Equation,

ax²+2x+a=0

On comparing with Ax²+Bx+C=0,

A=a,B=2 and C=a

Given that the above equation has distinct roots

Implies,

D>0

→B² - 4AC>0

→2² -4a² > 0

→4 - 4a² > 0

→1 - a² > 0

→ 1 > a²

→a < 1

For a < 1,the above equation has distinct and real roots

Step-by-step explanation: