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Common Roots

There are two...

Question

There are two equations a and b, which have “n” roots in common. What is the value of n? A: x³+2x²+7x-2=0 B: 8x²-4x+4=0 :x>0

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Solution

Option (a)

Equate a&b to get the common values

x³+2x²+7x-2=8x²-4x+4

solving we get

(x-1)(x-2)(x-3)=0

x=1,x=2,x=3

these values do not satisfy both equations. Hence, there are 0 roots in common.

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