Question

If the quadratic equation
px^2 - 2√5px +15 = 0
has two equal roots, then
find the value of p.​

Answer 1

Step-by-step explanation:

this equation has 2 equal roots so b2-4ac=0.

(-2√5p)² -4(p)(15)=0

20p2-60p=0

20p(p-3)=0

p=0,3

Answer 2

D=0 (For equal roots)

=(-2√5p)² - 4p x 15 = 0

,4x5p² - 60p=0

,20p²-60p=0

,20p(p-3)=0

,20p=0

,p=0

OR

p=3

(invalid) : p=3