document.write( "Question 113604: Two students solved a problem involving a quadratic equation. The first student made an error only in the constant term of the equation and determined the roots were 2 and 8. The second student made an error only in the coefficient of the linear term and determined the roots were -1 and -9. What was the quadratic equation ? \n" ); document.write( "

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Two students solved a problem involving a quadratic equation. The first student made an error only in the constant term of the equation and determined the roots were 2 and 8. The second student made an error only in the coefficient of the linear term and determined the roots were -1 and -9. What was the quadratic equation ?
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\n" ); document.write( "Find the quadratic equation for each student's roots:
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\n" ); document.write( "1st Student: (x-2)*(x-8) = x^2 - 10x + 16; Third term 16 is wrong
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\n" ); document.write( "2nd Student: (x+1)*(x+9) = x^2 + 10x + 9; 2nd term +10 is wrong
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\n" ); document.write( "I am going to say the correct equation is: x^2 - 10x + 9
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\n" ); document.write( "Factors to (x-9)(x-1); Roots: x = 9, x = 1 \n" ); document.write( "

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