document.write( "Question 2134: 1) find two consecutive integers such that the sum of the first and the square of the second is 19\r
\n" ); document.write( "\n" ); document.write( "2)Find 3 consecutive integers such that the square of the first, decreased by 5 times the second is 9 \n" ); document.write( "
Algebra.Com's Answer #838 by sehar(13)\"\" \"About 
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solution:
\n" ); document.write( "let the first no. be 'x', then the 2nd no. will be x+1.
\n" ); document.write( "now,according to question,
\n" ); document.write( " x+(x+1)^2=19
\n" ); document.write( " x+x^2+2x+1=19
\n" ); document.write( " x^2+3x-18=0
\n" ); document.write( " x^2+6x-3x-18=0
\n" ); document.write( " x(x+6)-3(x+6)=0
\n" ); document.write( "(x-3)(x+6)=0
\n" ); document.write( "x=3, x=-6
\n" ); document.write( "if x=3,then x+1=4
\n" ); document.write( "if x=-6 then x+1=-5\r
\n" ); document.write( "\n" ); document.write( "solution of 2:
\n" ); document.write( "let first no. 'x', the second 'x+1' & third 'x+2'
\n" ); document.write( "now,
\n" ); document.write( "x^2-5(x+1)=9
\n" ); document.write( "x^2-5x-5-9=0
\n" ); document.write( "x^2-5x-14=0
\n" ); document.write( "x^2-7x+2x-14=0
\n" ); document.write( "x(x-7)+2(x-7)=0
\n" ); document.write( "(x-7)(x+2)=0
\n" ); document.write( "so x=7, x=-2
\n" ); document.write( "so three consecutive nos. r 7,8,9 or -2,-1,0.
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