document.write( "Question 152: two consecutive integers are added the square of their sum is 361, what are the integers? \n" ); document.write( "

Algebra.Com's Answer #547948 by abhishek425(1) $\"\"$ $\"About$

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if the first number is X, then since they are
\n" ); document.write( "consecutive the other variable should be (X +1).
\n" ); document.write( "Adding those two integers --> = X + (X + 1) -->
\n" ); document.write( "2X + 1 The square of their sum is listed thusly --> (2X +
\n" ); document.write( "1)^2 = 361
\n" ); document.write( "When we take the square of both side (no need
\n" ); document.write( "to complete the square here) -->
\n" ); document.write( "2X + 1 = 19.
\n" ); document.write( "We then subtract 1 from both sides --> 2X + 1 - 1 = 19 -1 --> 2X -18.
\n" ); document.write( "We divide both sides by 2 --> 2X/2 = 18/2 --> X
\n" ); document.write( "= 9.
\n" ); document.write( "Since we defined X to be the first number, X + 1
\n" ); document.write( "is the next number
\n" ); document.write( "--> X +1 = 9 + 1 = 10. The comsecutive numbers are 9 and 10 \n" ); document.write( "

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