Question

if a, b are the roots of the equation x^2-2x+2=0 then the value of a^2+b^2

Answer 1

a and b are roots then a²+b² = (a+b)²-2ab
= (-b/a)²-2(c/a)
= (--2)²-2(2)
=4-4 = 0

here is ur answer

Answer 2

HELLO.......FRIEND!!

THE ANSWER IS HERE,

$the \: roots \: of \: the \: equation \: are \: a \: and \: b.$

$= > \: {a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab$


$= > \: a + b = \frac{ - coefficient \: of \: x}{coefficient \: of \: {x}^{2} }$

$= > \: a + b \: = 2$

$= > \: ab = \frac{constant}{coefficient \: of \: {x}^{2} }$

$= > \: ab = 2$

$= > \: {a}^{2} + {b}^{2} = {2}^{2} - 2(2)$

$= > \: 4 - 4$

$= > \: 0$


:-)Hope it helps u.