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Question

Solve each of the following quadratic equations:

1x+1+2x+2=5x+4, x-1, -2, -4 [CBSE 2013C]

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Solution

1x+1+2x+2=5x+4, x-1, -2, -4x+2+2x+2x+1x+2=5x+43x+4x2+3x+2=5x+43x+4x+4=5x2+3x+2
3x2+16x+16=5x2+15x+102x2-x-6=02x2-4x+3x-6=02xx-2+3x-2=0
x-22x+3=0x-2=0 or 2x+3=0x=2 or x=-32
Hence, 2 and -32 are the roots of the given equation.

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