Question

Find k if
sum of the squares of the roots of the equation
4kx2 + 3kx - 8 = 0 is 2.
​

Answer 1

Answer:

The value of k is 23/96

Step-by-step explanation:

Let the roots be p and q

Given,:- p^2+q^2=2

We know that

• (p+q)= -(3k)/4k= -3/4
• pq= -8/4k= -2/k

(p+q)^2=p^2+q^2+2pq

(-3/4)^2=2+3(-2/k)

9/16=2-6/k

6k=2-9/16

6k=23/16

k=23/96

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