Question

the roots of the equation xsquare -4x +5=0​

Answer 1

Answer:

ANSWER

x2−5x+6=0

⇒(x−2)(x−3)=0

⇒x=2 and x=3

Therefore, x=2 and x=3 are roots of the given equation.

Answer 2

${ \rm{ \large { {x}^{2} - 4x + 5 = 0}}}$

${ \rm{ \large { \implies {x}^{2} - 5x - x+ 5 = 0}}}$

${ \rm{ \large { \implies {x}(x - 5)- 1(x - 5) = 0}}}$

${ \rm{ \large { \implies (x - 5) (x - 1) = 0}}}$

${ \rm{ \large { \therefore (x - 5) = 0}}}$

${ \rm{ \large { \implies x = 5}}}$

${ \rm{ \large { \therefore (x - 1) = 0}}}$

${ \rm{ \large { \implies x = 1}}}$