document.write( "Question 841879: Given that the quadratic equation x^2-2x-m+1=0 has 2 positive real number roots, α and β, determine the range of values of m. \n" ); document.write( "
Algebra.Com's Answer #507235 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi
\n" ); document.write( "x^2-2x -m+1=0 |ax^2 + bx + c = 0, where c = (-m+1)
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%282+%2B-+sqrt%28+4-4%28-m%2B1%29%29%29%2F2+\"
\n" ); document.write( "has 2 positive real number roots ⇒
\n" ); document.write( " 0 < 4-4(-m+1)< 4
\n" ); document.write( " 0 < 4 + 4m - 4 < 4
\n" ); document.write( " 0 < 4m < 4
\n" ); document.write( " 0 < m < 1\r
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