State whether the following quadratic equations have two distinct real roots. Justify your answer.
The equation 
has two distinct and real roots.
Simplifying the above equation,
⇒ 
⇒ 
∴ 
∴ D = b2 - 4ac
Hence, the roots are real and distinct.
1
State whether the following quadratic equations have two distinct real roots. Justify your answer.
The equation has two distinct and real roots.
Simplifying the above equation,
⇒
⇒
∴
∴ D = b2 - 4ac
Hence, the roots are real and distinct.