document.write( "Question 48440: using the five step method .the sum of a number and its reciprocal is 10/3.what is the number? please show step one through 5. thanks \n" ); document.write( "

Algebra.Com's Answer #32081 by atif.muhammad(135) $\"\"$ $\"About$

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Let the number be x and its' reciprocal be \r\n" );
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document.write( "1. x +  =   --- Our equation\r\n" );
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document.write( "2. x^2 + 1 =    ---  Form the equation around a common denominator\r\n" );
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document.write( "3. 3x^2 - 10 x + 3 = 0 --- Re-arrange the equation\r\n" );
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document.write( "4. (3x-1)(x-3) = 0 --- Factorise the quadratic\r\n" );
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document.write( "5. x =  or 3  --- Our answer.\r\n" );
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document.write( " (The two possible answers are both reciprocals of each other)\r\n" );
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