Question

If P and 1/p are zeroes of 4x2-17x+k-4 ,find k

Answer 1

Answer:

The value of k is 8

Step-by-step explanation:

Given ::- 4x²- 17x + k - 4 = 0

Roots are p and 1/p

To find ::- value of k

Solution ::-

Comparing the given equation with

ax²+bx+c = 0

Here a = 4 , b= -17, c= k-4

α + β = -b/a

= -(-17)/4

= 17/4

αβ = c/a

= k-4/ 4

Here, α = p and β = 1/p

∴. p × 1/p = k-4/4

1 = k-4/4

4. = k-4

4+4 =. k

∴. k = 8

Therefore, the value of k is 8

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