document.write( "Question 367314: Good evening, I'm having trouble finding the x-intercept of the following equation:\r
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document.write( "I already managed to complete the square to get the vertex form:\r
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document.write( "The y-intercept is 9, obtained by plugging 0 in for x and solving for y.\r
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document.write( "The vertex is (4, -23), but I don't understand how to find the x-intercept. I graphed the equation and the x-intercepts are somewhere around (-7.5, 0) and (-0.6, 0) but I have no idea how to calculate these. Please help! Your time is much, MUCH appreciated :) \n" );
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Algebra.Com's Answer #261820 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! There are two ways to do this. Both methods involve setting each expression equal to zero.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Method 1: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Notice that the quadratic \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let's use the quadratic formula to solve for \"x\":\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the solutions are \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This means that the x-intercepts are \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "======================================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Method 2: \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the solutions are \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So again, the x-intercepts are \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: The approximate form of the x-intercepts is x-intercepts are \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, feel free to check out my tutoring website\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( " |