document.write( "Question 325777: What are the x intercepts of y + 12 = x2 + x? \n" ); document.write( "
Algebra.Com's Answer #233221 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! To find the x-intercept, let y = 0 and solve for x.\r \n" ); document.write( "\n" ); document.write( "y + 12 = x^2 + x\r \n" ); document.write( "\n" ); document.write( "Let y = 0\r \n" ); document.write( "\n" ); document.write( "0 + 12 = x^2 + x\r \n" ); document.write( "\n" ); document.write( "12 = x^2 + x\r \n" ); document.write( "\n" ); document.write( "Subtract 12 from both sides.\r \n" ); document.write( "\n" ); document.write( "0 = x^2 + x - 12\r \n" ); document.write( "\n" ); document.write( "We now factor the quadratic equation.\r \n" ); document.write( "\n" ); document.write( "0 = (x - 3)(x + 4)\r \n" ); document.write( "\n" ); document.write( "Set each factor to zero and solve for x.\r \n" ); document.write( "\n" ); document.write( "x - 3 = 0\r \n" ); document.write( "\n" ); document.write( "x = 3\r \n" ); document.write( "\n" ); document.write( "x + 4 = 0\r \n" ); document.write( "\n" ); document.write( "x = -4\r \n" ); document.write( "\n" ); document.write( "The x-intercepts are x = 3 and x = -4.\r \n" ); document.write( "\n" ); document.write( "Did you follow?\r \n" ); document.write( "\n" ); document.write( "======================================\r \n" ); document.write( "\n" ); document.write( "By the way, if you ever need to find the y-intercepts, let x = 0 and solve for y.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |