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If the given equation has distinct real roots, then
D > 0
b^2 - 4ac > 0
16 - 4k > 0
16 - 4k - 16 > - 16
-4k > - 16
- 4k / ( - 4) > - 16 / ( - 4 )
k > 4
So, value of k is ( 4, infinity ) .
D > 0
b^2 - 4ac > 0
16 - 4k > 0
16 - 4k - 16 > - 16
-4k > - 16
- 4k / ( - 4) > - 16 / ( - 4 )
k > 4
So, value of k is ( 4, infinity ) .
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distinct real root
b²-4ac >0
=>(-4)²-4×1×k >0
=>4(4-k)>0
=> therefore , 4-k >0
now represent on number line ,
then , k € (-infity , 0)and (4,infinity)
b²-4ac >0
=>(-4)²-4×1×k >0
=>4(4-k)>0
=> therefore , 4-k >0
now represent on number line ,
then , k € (-infity , 0)and (4,infinity)
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