CBSE Class 10 Answered

1/(x-1) (x-2) + 1/(x-2) (x-3) = 2/3

Asked by pranjalbisht2003 | 06 Mar, 2019, 09:49: AM

Expert Answer

begin mathsize 16px style bold 1 bold divided by bold left parenthesis bold x bold minus bold 1 bold right parenthesis bold space bold left parenthesis bold x bold minus bold 2 bold right parenthesis bold space bold plus bold space bold 1 bold divided by bold left parenthesis bold x bold minus bold 2 bold right parenthesis bold space bold left parenthesis bold x bold minus bold 3 bold right parenthesis bold space bold equals bold space bold 2 bold divided by bold 3 fraction numerator bold 1 over denominator open parentheses bold x bold space bold minus bold 1 close parentheses open parentheses bold x bold space bold minus bold 2 close parentheses end fraction bold plus bold space fraction numerator bold 1 over denominator open parentheses bold x bold space bold minus bold 2 close parentheses open parentheses bold x bold space bold minus bold 3 close parentheses end fraction bold equals bold space bold 2 over bold 3 bold Taking bold space bold LCM bold comma bold space bold we bold space bold get bold rightwards double arrow fraction numerator bold x bold space bold minus bold space bold 3 bold space bold plus bold space bold x bold space bold minus bold space bold 1 over denominator open parentheses bold x bold space bold minus bold 1 close parentheses open parentheses bold x bold space bold minus bold 2 close parentheses bold left parenthesis bold x bold space bold minus bold space bold 3 bold right parenthesis end fraction bold equals bold space bold 2 over bold 3 bold rightwards double arrow fraction numerator bold 2 bold x bold space bold minus bold space bold 4 bold space over denominator open parentheses bold x bold space bold minus bold 1 close parentheses open parentheses bold x bold space bold minus bold 2 close parentheses bold left parenthesis bold x bold space bold minus bold space bold 3 bold right parenthesis end fraction bold equals bold space bold 2 over bold 3 bold rightwards double arrow fraction numerator bold 2 bold left parenthesis bold x bold space bold minus bold space bold 2 bold right parenthesis bold space over denominator open parentheses bold x bold space bold minus bold 1 close parentheses open parentheses bold x bold space bold minus bold 2 close parentheses bold left parenthesis bold x bold space bold minus bold space bold 3 bold right parenthesis end fraction bold equals bold space bold 2 over bold 3 bold rightwards double arrow fraction numerator bold 1 over denominator open parentheses bold x bold space bold minus bold 1 close parentheses bold left parenthesis bold x bold space bold minus bold space bold 3 bold right parenthesis end fraction bold equals bold space fraction numerator bold 1 bold space over denominator bold 3 end fraction bold rightwards double arrow bold x to the power of bold 2 bold space bold minus bold space bold 3 bold x bold space bold minus bold space bold x bold space bold plus bold space bold 3 bold space bold equals bold space bold 3 bold rightwards double arrow bold x to the power of bold 2 bold space bold minus bold space bold 4 bold x bold space bold equals bold space bold 0 bold rightwards double arrow bold x bold left parenthesis bold x bold space bold minus bold space bold 4 bold right parenthesis bold space bold equals bold space bold 0 bold rightwards double arrow bold x bold space bold equals bold space bold 0 bold space bold or bold space bold x bold space bold equals bold space bold 4 end style

Answered by Yasmeen Khan | 06 Mar, 2019, 10:03: AM

CBSE Class 10 Answered

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CBSE Class 10 Answered

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Factorisation Method - 1

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Quadratic Equations

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