Question

Fid the alue of k if alpha and bita are zeros of x^2-(k+6)x+2(2k-1) such that alpha+ bita =1/2 alpha*bita

Answer 1

Hey!

Given equation :- x² - ( k + 6 )x + 2( 2k - 1 )

# alpha ( @ )
beta ( ẞ )


• Sum of Zeros =
$\frac{ - coefficient \: of \: {x}}{coefficient \: \: of \: {x}^{2} }$

• @ + ẞ = 1/2


$\frac{1}{2} = \frac{ (k + 6)}{1}$

2k + 12 = 1

2k = 1 - 12

2k = -11

k = -11/2 ....