Question

सिद्ध करें की x×x-3x+2 धन होगा यदि
x>2 या x<1

Answer 1

Answer:

${x}^{2} - 3x + 2 \: \: will \: \: be \: \: positive. \\ \\ \\ then - \\ \\ \\ {x}^{2} - 3x + 2 > 0 \\ \\ { \bold{ \implies{ {x}^{2} - 2x -x + 2 > 0 }}} \\ \\ { \bold{ \implies \: x(x - 2) - 1(x - 2) > 0}} \\ \\ { \bold{ \implies \: (x - 1)(x - 2) > 0}} \\ \\ { \bold{ \implies \:x > 1 \: \: and \: x > 2 }} \\ \\ { \bold{ \boxed{ \huge \mathtt\red{ \bigstar \: Hence \: \: Proved \bigstar}}}}$