Question

If the equation ax^2 + 2x + a = 0 has equal root , then find the value of a .​

Answer 1

Answer:

a=1

Step-by-step explanation:

ax²+2x+a=0

a=a, b=2, c=a

Discriminant=0

b²-4ac=0

(2)²-4(a)(a)=0

4-4a²=0

4(1-a²)=0

1-a²=0/4

1-a²=0

(-a²)=(-1)

a²=1

a=√1

a=1

Therefore, the value of a is 1.