Question

The value of 'p' for which x = -1/2 is a root of the equation 4x^2 - 3px - p = 0
1
-2
2
0

Answer 1

Step-by-step explanation:

4(-1/2)^2-3(p)(-1/2)-p=0

1+3p/2-p=0

2+3p-2p/2=0

p=-2

Answer 2

Answer:

p = -2

Note:

★ The possible values of variable which satisfy the given equation are called its solutions or roots .

★ If it is given that , x = a is a root of given equation , then it must satisfy the given equation .

Solution:

Here,

The given quadratic equation is ;

4x² - 3px - p = 0

Also,

It is given that , x = -1/2 is a root of given equation. Thus, x = -1/2 must satisfy it .

Thus,

=> 4(-1/2)² - 3p(-1/2) - p = 0

=> 1 + 3p/2 - p = 0

=> 1 + (3p - 2p)/2 = 0

=> 1 + p/2 = 0

=> p/2 = -1

=> p = -1×2

=> p = -2

Hence,

The required value of p is (-2) .