document.write( "Question 754431: A father is four times older than his son. If you subtract 60 from the square of the son's age you get the fathers age. How old are they?\r
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document.write( "Can you please help me out? Thanks so much in advance:)
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document.write( "Can you also please show the steps it would really help me understand:) \n" );
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Algebra.Com's Answer #459070 by rothauserc(4718) You can put this solution on YOUR website! A father is four times older than his son. If you subtract 60 from the square of the son's age you get the fathers age. How old are they? \r \n" ); document.write( "\n" ); document.write( "let son's age be x, then father's age is 4x, also\r \n" ); document.write( "\n" ); document.write( "4x = x^2 - 60 and\r \n" ); document.write( "\n" ); document.write( "x^2 -4x -60 = 0\r \n" ); document.write( "\n" ); document.write( "factor the polynomial\r \n" ); document.write( "\n" ); document.write( "(x+6)*(x-10)=0\r \n" ); document.write( "\n" ); document.write( "solutions for x are -6 and 10\r \n" ); document.write( "\n" ); document.write( "we choose the value 10 for x since a person can not be negative years old :-)\r \n" ); document.write( "\n" ); document.write( "so the son is 10 years old and the father is 4*10 or 40 years old\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |