Question

if sum of the square of the quadratic polynomial x2-8x+k​

Answer 1

$\huge \boxed{ \fcolorbox{cyan}{red}{Answer : }}$

➡ f( x ) = x² - 8x + k

➡f( α ) = 0 ; f( β ) = 0

• α + β = - ( - 8 ) / 1 = 8
• ( α + β )² = 8²
• ( α² + β² + 2αβ ) = 64
• ( 40 + 2αβ ) = 64
• 2αβ = 24 or  αβ = 12

$\huge \boxed{αβ = k </p><p>->k = 12}$