Question

what is the sum of square of the root equation x^2 -6x +8=0

Answer 1

Answer:

20

Step-by-step explanation:

${x}^{2} - 6x + 8 = (x - 4)(x - 2)$

roots=4,2

asked sum of squares of roots so

${4}^{2} + {2}^{2}$

=20

Answer 2

$we \: know \: a \: quadratic \: equation \\ is \: of \: the \: form :$

${x}^{2} - (sum \: of \: roots)x \: + (product \: of \: roots) = 0$

$so \: by \: comparing \: with \: above \: \\ equation \: we \: can \: say \: the \: \: \\ sum \: of \: root \: is \: 6.$

$i \: hope \: its \: help \: you$