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Question

For how many values of the coefficient a do the equation x2+ax+1=0, x2−x−a=0 have a common real solution?

A
0
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B
1
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C
2
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D
3
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Solution

The correct option is B 1
x2+ax+1=0___(1)
x2xa=0____(2)
They have one conman solution
x2+ax+1=0
x2(xa)=0
_______________
0+(a+1)x+(1+x)=0
x=1
x2+ax+1=0
(1)21(a)+1=0
2a=0 a=2

1111506_1204115_ans_e4a3b6bb444b4da296a68b82e6ac6bf0.jpg

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