document.write( "Question 1025266: Three numbers are so related that the second number is 2 more than the first, and the third is 4 more than the first. Find the numbers if their squares is 56 more than three times the square of the smallest. \n" ); document.write( "
Algebra.Com's Answer #640964 by ankor@dixie-net.com(22740)\"\" \"About 
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Three numbers are so related that
\n" ); document.write( "a, b, c
\n" ); document.write( "the second number is 2 more than the first,
\n" ); document.write( "b = a+2
\n" ); document.write( " and the third is 4 more than the first.
\n" ); document.write( "c = a+4
\n" ); document.write( " Find the numbers if their squares is 56 more than three times the square of the smallest.
\n" ); document.write( "a^2 + b^2 + c^2 = 3(c^2) + 56
\n" ); document.write( "Replace b with a+2, and c with a+4
\n" ); document.write( "a^2 + (a+2)^2 + (a+4)^2 = 3(a+4)^2 + 56
\n" ); document.write( "FOIL
\n" ); document.write( "a^2 + a^2 + 4a + 4 + a^2 + 8a + 16 = 3(a^2 + 8a + 16) + 56
\n" ); document.write( "Combine like terms, distribute the 3
\n" ); document.write( "3a^2 + 12a + 20 = 3a^2 + 24a + 48 + 56
\n" ); document.write( "Combine a on the left
\n" ); document.write( "12a - 24a = 48 + 56 - 20
\n" ); document.write( "-12a = 84
\n" ); document.write( "a = 84/-12
\n" ); document.write( "a = -7
\n" ); document.write( "then
\n" ); document.write( "b = -7+2
\n" ); document.write( "b = -5
\n" ); document.write( "and
\n" ); document.write( "c = -7+4
\n" ); document.write( "c = -3
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "you confirm this for yourself in the original equation
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