Question

1.p and q are zeroes of the quadratic polynomial x^,2 - (k+6)x+2(2k-1). find the value of k if 2( p+q)= pq​

Answer 1

Answer:

Let the roots be α,β

For a quadratic equation ax

2

+bx+c=0

Sum of roots α+β=k+6⋯(1)

Product of roots αβ=4k−2⋯(2)

According to question,

α+β=

2

αβ

From (1),(2)

⟹k+6=2k−1

⟹k=7

I hope it's helpful for U .