if one root of the equation 4x2-2x+k-4=0 is reciprocal of other then k is
Answers
Answered by
10
4x
2
−2x+(β−4)=0
Let a,b be roots
b=
a
1
∴a⋅
a
1
=
4
β−4
∴β=8
2
−2x+(β−4)=0
Let a,b be roots
b=
a
1
∴a⋅
a
1
=
4
β−4
∴β=8
Answered by
10
Answer:
let the root be d
=>other root is 1/d
product of roots = d×1/d = 1 = (k-4)/4
=>k-4=4
=>k=8
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