Question

If one root of the quadratic equation 3x2+px+4=0 is 2/3, then find the value
of p and the other root of the equation.
OR
The roots a and 3 of the quadratic equation XP-5:4+3(k-1)=0 are such that a-
B=1. Find the value k.​

Answer 1

Answer:

Step-by-step explanation:

ANSWER

It is given that -4 is a root of the equation x  

2

+px−4=0.

Then, -4 must satisfy the equation,

(−4)  

2

+p×(−4)−4=0

16−4p−4=0

4p=12

p=3

Now, the equation x  

2

+px+k=0 has equal roots

Therefore,

Discriminant, D=0⟹b  

2

−4ac=0

p  

2

−4k=0

9−4k=0

k=  

4

9

​  

 

Therefore, p=3 and k=  

4

9

​  

.

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