document.write( "Question 204736: y=x^2 + 4x -5 =0\r
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document.write( "a) without solving the equation or factoring, determine the solution(s) to the equation. x^2 +4x -5 =0\r
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document.write( "b) does this function have a maximum or minimum?\r
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document.write( "c) what are the coordinates of the vertex in (x,y) form?\r
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document.write( "d) what is the equation of the line of symmetry? \n" );
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Algebra.Com's Answer #154517 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! y=x^2 + 4x -5 =0 \n" ); document.write( "a) without solving the equation or factoring, determine the solution(s) to the equation. x^2 +4x -5 =0 \n" ); document.write( "--- \n" ); document.write( "Since the coefficients add up to zero x = 1 is a solution. \n" ); document.write( "Using synthetic division you can find the other factor and then the 2nd root. \n" ); document.write( "1)....1....4....-5 \n" ); document.write( ";.......1....5....|..0 \n" ); document.write( "------------------ \n" ); document.write( "The factor is x+5, so x=-5 is the 2nd solution. \n" ); document.write( "------------------------------------ \n" ); document.write( "b) does this function have a maximum or minimum? \n" ); document.write( "Minimum because the coefficient of x^2 is > zero. \n" ); document.write( "------------------------------------ \n" ); document.write( "c) what are the coordinates of the vertex in (x,y) form? \n" ); document.write( "x = -b/2a = -4/2 = -2 \n" ); document.write( "f(-2) = 4-8-5 = -9 \n" ); document.write( "Vertex: (-2,-9) \n" ); document.write( "------------------------------------ \n" ); document.write( "d) what is the equation of the line of symmetry? \n" ); document.write( "Ans: x = -2 \n" ); document.write( "========================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |