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Question

If the roots of the quadratic equation 3x212x+m=0 are equal, then the value of m will be:

A
4
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B
7
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C
9
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D
12
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Solution

The correct option is C 12
If the roots of the given quadratic equation ax2+bx+c=0 are equal then
b24ac=0
Comparing 3x212x+m=0 with ax2+bx+c=0 we get, a=3,b=12 and c=m
122(4×3×m)=012(12m)=0
12m=0
m=12

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