Question

if one root of quadratic equation 2x 2 -3x +p= 0 is 3 find the value of 'p' and other root​

Answer 1

Step-by-step explanation:

Given equation is:

2x

2

+px+3=0

∵ one root =3.

Let other root = β

⇒3β=

2

3

⇒β=

2

1

⇒α+β=

a

−b

=

2

−p

⇒3+

2

1

=

2

−p

⇒

2

7

=

2

−p

⇒ep=−7

Answer 2

2x²-3x+p=0

p(3)=2(3)²-3(3)+p=0

2(9)-9+p=0

18-9+p=0

9+p=0

p=-9