Question

find the value of p for which the quadratic equation px (x-2√5) + 10 = 0 has equal roots​

Answer 1

Answer:

p = 3

Step-by-step explanation:

If in equation ax  

2

+bx+c=0 the two roots are equal  

Then b  

2

−4ac=0

In equation px  

2

−2  

5

​  

px+15=0

a=p,b=−2  

5

​  

p and c=15

Then  b  

2

−4ac=0

⇒(−2  

5

​  

p)  

2

−4×p×15=0

⇒20p  

2

−60p=0

⇒20p(p−3)=0

So when  p−3=0⇒p=3

p



=0 as it makes coefficient of x  

2

=0

Hence, p=3