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Question

Let α,β be the values of m for which the equation (1+m)x22(1+3m)x+(1+8m) has equal roots. Find the equation whose roots are α+2 and β+2.


A

x27x+10=0

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B

x24x+3=0

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C

x25x+6=0

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D

x23x=0

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Solution

The correct option is A

x27x+10=0


=0(2(1+3m))24(1+m)(1+8m)=0
1+9m2+6m19m8m2=0
m23m=0
m(m3)=0
α=0 ,β=3
α+2=2 and β+2=5
Equation whose roots are α+2 and β+2 is (x2)(x5)=x27x+10=0

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