louar iulll the puLHt BI3, p and C(p, 5), then find the valueof p.5. I

1.	louar iulll the puLHt BI3, p and C(p, 5), then find the valueof p.5. If the quadratic equation px2-2/5px +15 0 has two equal roota, then find thevalue of p.
Answer» Equal rootsmeans D= 0b^2= 4ac 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 I hope this helps you

louar iulll the puLHt BI3, p and C(p, 5), then find the valueof p.5. If the quadratic equation px2-2/5px +15 0 has two equal roota, then find thevalue of p.

Answer»

Equal rootsmeans D= 0b^2= 4ac

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

I hope this helps you