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JEE Class main Answered

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Asked by g_archanasharma | 19 Mar, 2019, 22:00: PM
answered-by-expert Expert Answer
G i v e n colon space f left parenthesis x right parenthesis equals x squared minus 5 x plus 6 comma space g left parenthesis x right parenthesis equals f left parenthesis vertical line x vertical line right parenthesis
C o n s i d e r space g left parenthesis x right parenthesis equals 0
rightwards double arrow f left parenthesis vertical line x vertical line right parenthesis equals 0
rightwards double arrow x squared minus 5 vertical line x vertical line plus 6 equals 0
rightwards double arrow x squared minus 5 x plus 6 equals 0 space w h e n space x greater than 0 space o r space x squared minus 5 x plus 6 equals 0 space w h e n space x less than 0
rightwards double arrow left parenthesis x minus 3 right parenthesis left parenthesis x minus 2 right parenthesis equals 0 comma space w h e n space x greater than 0 space o r
left parenthesis x plus 3 right parenthesis left parenthesis x plus 2 right parenthesis equals 0 comma space w h e n space x less than 0
rightwards double arrow x equals 2 comma 3 space o r space minus 2 comma negative 3
T h u s comma space x equals plus-or-minus 2 comma plus-or-minus 3
H e n c e comma space t h e r e space a r e space 4 space s o l u t i o n s space f o r space t h e space e q u a t i o n space g left parenthesis x right parenthesis equals 0.
Answered by Renu Varma | 20 Mar, 2019, 15:13: PM
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