Question

x² - (K+6)20 - 2(2k +) . find the value of k where the sum of the zero is half of their product​

Answer 1

Let the roots be α,β

Fir a quadratic equation ax²+bx+c=0

Sum of roots α+β=k+6⋯(1)

Product of roots αβ=4k−2⋯(2)

According to question,

α+β= αβ/2

From (1),(2)

⟹k+6=2k−1

⟹k=7