If one root of equation 4x² -2x+k-4=0 is reciprocal of other. The value of k is: *
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Answer:
k = 4
Step-by-step explanation:
suppose two roots are x and y
now one root is reciprocal of other which means
y= 1/x
so two roots are x and 1/x
now
a = 4 , b= -2x , c = k-4
product of roots = c/a
so, x . 1/× = k - 4/4
1 = k- 4 /4
4 = k-4
4 + 4 = k
8 = k
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