pls answer this
for which values of X the given expression is negative.
with explanation
pls.....
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Heya
_______________________________
-x² + 4x - 8 Should be < 0 for negative value of x
=>
-x² + 4x - 8 < 0
MULTIPLE BOTH SIDES BY -
x² - 4x + 8 >0
=>
x² - 2 ( x ) ( 2 ) + 4 - 4 + 8 > 0
=>
( x - 2 )² > - 4
=>
( x - 2 ) > √(-4)
OR
( x - 2 ) < √(4)
=>
( x - 2 ) > 2i OR ( x - 2 ) < 2
=>
x > 2i + 2 OR x < 4
where i is iota
Real values of x are less then 4
_______________________________
-x² + 4x - 8 Should be < 0 for negative value of x
=>
-x² + 4x - 8 < 0
MULTIPLE BOTH SIDES BY -
x² - 4x + 8 >0
=>
x² - 2 ( x ) ( 2 ) + 4 - 4 + 8 > 0
=>
( x - 2 )² > - 4
=>
( x - 2 ) > √(-4)
OR
( x - 2 ) < √(4)
=>
( x - 2 ) > 2i OR ( x - 2 ) < 2
=>
x > 2i + 2 OR x < 4
where i is iota
Real values of x are less then 4
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