Question

px²- 2root2px +15=0 has two equal roots FIND p​

Answer 1

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Answer 2

Compare px² -2√5 px + 15 = 0 with

ax² + bx + c = 0

a = p , b = -2√5 , c = 15

We know that ,

If the roots of the quadratic equation are equal , then it's discriminant (D) equals to zero.

D = 0

b² - 4ac = 0

( -2√5 p )² - 4×p ×15 = 0

20p² - 60p = 0

20p( p - 3)= 0

Therefore ,

20p = 0 or ( p- 3 ) = 0

p = 0 or p = 3