The equations xsquare-2x+1=0.x²-3x+2=0 have a common
root is
Answers
Answered by
0
Given,
x
2
+(a
2
−2)x−2a
2
=0 and x
2
−3x+2=0
x
2
−3x+2=0
⇒(x−1)(x−2)=0
x=1,2 are the roots of this equation.
x
2
+(a
2
−2)x−2a
2
=0
x
2
+a
2
−2x−2a
2
=0
x(x+a
2
)−2(x+a
2
)=0
(x−2)(x+a
2
)=0
x=2,−a
2
For all a∈R,−a
2
=1.
So, there will be exactly one common root for all a∈R.
Hence, option 'B' is correct.
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