If one root of 3 x square + 2 x + k is equals to zero is the reciprocal of the other then the value of k is
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Hi ,
It is given that ,
3x² + 2x + k = 0
compare above quadratic equation with
ax² + bx + c = 0,
a = 3 , b = 2 , c = k
Let m and 1/m are two roots of the quadratic
equation ,
we know that ,
product of the roots = c/a
m × 1/m = k/3
1 = k/3
3 = k
Therefore ,
k = 3
I hope this helps you.
: )
It is given that ,
3x² + 2x + k = 0
compare above quadratic equation with
ax² + bx + c = 0,
a = 3 , b = 2 , c = k
Let m and 1/m are two roots of the quadratic
equation ,
we know that ,
product of the roots = c/a
m × 1/m = k/3
1 = k/3
3 = k
Therefore ,
k = 3
I hope this helps you.
: )
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