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Question

Find the common root of x2−3x+2=0x2−7x+10=0

A
2
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B
1
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C
5
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D
None
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Solution

The correct option is A 2
x23x+2=0x22xx+2=0x(x2)1(x2)=0(x1)(x2)=0x=1,2x27x+10=0x25x2x+10=0x(x5)2(x5)=0(x5)(x2)=0x=2,5
Sothe common troot is 2

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