The coefficients a,b and c of the quadratic equation ax2+bx+c=0, are obtained by throwing a dice three times. The probability that this equation has equal roots is:
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a
136
b
5216
c
154
d
172
answer is B.
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Detailed Solution
Given quadratic equation ax2+bx+c=0 has equal roots Δ=0 b24=acn(S)=63=216,a,b,c∈SSuppoe E be the event of getting a, b, c such that b24=ac E=2,1,1,4,2,2,4,4,1,4,1,4,6,3,3 Req probability =5216