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You can put this solution on YOUR website!
the two consecutive numbers are x and x + 1
\n" ); document.write( "therefore:
\n" ); document.write( "x^2 + (x + 1)^2 = 41
\n" ); document.write( "simplify to get:
\n" ); document.write( "x^2 + x^2 + 2x + 1 = 41
\n" ); document.write( "subtract 41 from both sides and combine like terms to get:
\n" ); document.write( "2x^2 + 2x - 40 = 0
\n" ); document.write( "divide both sides of this equation by 2 to get:
\n" ); document.write( "x^2 + x - 20 = 0
\n" ); document.write( "factor this quadratic equation to get:
\n" ); document.write( "(x - 4) * (x + 5) = 0
\n" ); document.write( "solve for x to get:
\n" ); document.write( "x = 4 or x = -5
\n" ); document.write( "since x is a natural number, than the only possible solution is x = 4
\n" ); document.write( "when x = 4, x + 1 = 5
\n" ); document.write( "your two natural numbers are 4 and 5.
\n" ); document.write( "x^2 + (x + 1)^2 = 41 becomes:
\n" ); document.write( "4^2 + 5^2 = 41 which becomes:
\n" ); document.write( "16 + 25 = 41 which becomes:
\n" ); document.write( "41 = 41, confirming the solution is correct.
\n" ); document.write( "your solution is that the numbers are 4 and 5.\r
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