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Question

Find the value of k so that the sum of the roots of the quadratic equation kx2+2x+3k=0 is equal to their product.

A
23
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B
23
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C
32
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D
32
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Solution

The correct option is B 23
Given equation is: kx2+2x+3k=0
Comparing with ax2+bx+c=0
a=k,b=2,c=3k.
Sum of roots =ba=2k
Product of the roots =ca=3kk
Since sum of roots = Product of roots
2k=3kk
2k=31
3k=2
k=23

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