find the value of K for which the equation x²-4x+k=0 has DISTINCT REAL ROOTS
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here a=1
b=-4
c=k
x²-4x+k=0 has DISTINCT REAL ROOTS
b²-4ac>0
(-4)^2 - 4(1)(k)>0
16-4k>0
4k<16{when minus sign change in both side then sign convert}
k<4
So the equation has distinct real roots for all values of k less than 4
b=-4
c=k
x²-4x+k=0 has DISTINCT REAL ROOTS
b²-4ac>0
(-4)^2 - 4(1)(k)>0
16-4k>0
4k<16{when minus sign change in both side then sign convert}
k<4
So the equation has distinct real roots for all values of k less than 4
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