Question

6. If roots of the quadratic equation x²- 2(3+ a)x
+a²- 3 =Oare equal. Then find the value of a​

Answer 1

Answer:

a= -2

Step-by-step explanation:

given that roots of the above equation are equal.

This means that B^2-4AC=0

i.e.(2(3+a))^2-4(1)((a^2)-3)=0

=4(9+a^2+6a)-4a^2+12=0

=36+24a= -12

implies a = -2