document.write( "Question 1179118: A number exceed another by 5, the sum of their square is 157. What are the numbers? \n" ); document.write( "
Algebra.Com's Answer #808621 by collegealgebraexpert(1)\"\" \"About 
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A number exceed another by 5, the sum of their square is 157. What are the numbers?
\n" ); document.write( "Solution:
\n" ); document.write( "Let the first number be x.
\n" ); document.write( "Then the second number will be x + 5.
\n" ); document.write( "Sum of the squares of the numbers = 157
\n" ); document.write( "x^2 + (x + 5)^2 = 157
\n" ); document.write( "x^2 + x^2 + 10x + 25 = 157
\n" ); document.write( "2x^2 + 10x + 25 - 157 = 0
\n" ); document.write( "2x^2 + 10x - 132 = 0
\n" ); document.write( "2(x^2 + 5x - 66) = 0
\n" ); document.write( "x^2 + 5x - 66 = 0/2
\n" ); document.write( "x^2 + 11x - 6x- 66 = 0
\n" ); document.write( "x(x + 11) - 6(x + 11) = 0
\n" ); document.write( "(x + 11)(x - 6) = 0
\n" ); document.write( "x + 11 = 0 or x - 6 = 0
\n" ); document.write( "x = -11 or x = 6
\n" ); document.write( "When we take x = -11, x + 5 becomes -11 + 5 = -6
\n" ); document.write( "When we take x = 6, x + 5 becomes 6 + 5 = 11
\n" ); document.write( "Thus, the two numbers are -11, -6 or 6, 11.
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