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Question

Factorise the following by splitting the middle term and find the roots.2x2+x6=0


A

x=2 or x=32

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B

x=2 or x=32

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C

x=2 or x=32

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D

x=2 or x=32

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Solution

The correct option is B

x=2 or x=32


Given, 2x2+x6=0

2x2+x6=2x2+4x3x6=2x (x+2)3 (x+2)=(x+2) (2x3)

2x2+x6=0
(x+2) (2x3)=0

x+2=0 or 2x3=0x=2 or x=32


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