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Question

A value of b for which the equations
x2+bx10
x2+x+b=0,
have one root in common is -

A
-2
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B
i3
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C
i5
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D
2
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Solution

The correct option is A -2
α2+bα1=0
& α2+α+b=0
(-)
_________________
bαα1b=0
α=b+1b1
(b+1b1)2+b(b+1b1)=1
(b+1)2+b(b+1)(b1)=b1
b2+2b+1+b3b=b1
b3+b2+2=0b=2

1344083_1244568_ans_edf07142e7274b7f8d25a2f967b688ea.JPG

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