Question

If the roots of the quadratic equation `2x^2+8x+k=0` are equal then find the value of k.  

Answer 1

It is given that the roots of the quadratic equation `2x^2+8x+k=0` 

are equal. 

∴`D=0` 

⇒`8^2-4xx2xxk=0` 

⇒`64-8k=0` 

⇒`k=8` 

Hence, the value of k is `8`.