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Question

Solve each of the following quadratic equations:

3x+1-12=23x-1,    x-1, 13                 [CBSE 2014]


Solution

3x+1-12=23x-1,    x-1, 133x+1-23x-1=129x-3-2x-2x+13x-1=127x-53x2+2x-1=12
3x2+2x-1=14x-10                    Cross multiplication3x2-12x+9=0x2-4x+3=0x2-3x-x+3=0
xx-3-1x-3=0x-3x-1=0x-3=0 or x-1=0x=3 or x=1
Hence, 1 and 3 are the roots of the given equation.

Mathematics
RS Aggarwal (2018)
Standard X

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