document.write( "Question 62517: I need some help I canot find the correct answer for the following problems\r
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document.write( "Solve by completing the square 2x^2-8x-11=0
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document.write( "What are the intercepts of y=-x^2+x\r
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document.write( "Solve by completing the square
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document.write( "x^2-18x+80=0\r
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document.write( "Is the following trinominal a perfect square
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document.write( "x^2+12+36\r
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document.write( "Thanks for you assistance \n" );
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Algebra.Com's Answer #43281 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Solve by completing the square Solve by completing the square: \n" ); document.write( "2x^2 - 8x - 11 = 0 \n" ); document.write( ": \n" ); document.write( "2x^2 - 8x + ___ = + 11 \n" ); document.write( ": \n" ); document.write( "Make the coefficient of x^2 = to 1; divide equation by 2 \n" ); document.write( "x^2 - 4x + ____ = + 5.5 \n" ); document.write( ": \n" ); document.write( "To find the value that completes the square: \n" ); document.write( "Divide the coefficient of x by 2, & square it, (4/2)^2 = 4; add 4 to both sides: \n" ); document.write( "x^2 - 4x + 4 = 5.5 + 4 \n" ); document.write( "x^2 - 4x + 4 = 9.5 \n" ); document.write( "(x-2)^2 = 9.5 \n" ); document.write( ": \n" ); document.write( "Find the square root of both sides: \n" ); document.write( "x - 2 = +/-SqRt(9.5) \n" ); document.write( ": \n" ); document.write( "x = 2 + SqRt(9.5) \n" ); document.write( "and \n" ); document.write( "x = 2 - SqRt(9.5) \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "What are the intercepts of: \n" ); document.write( " y = -x^2 + x \n" ); document.write( "-x^2 + x = 0 \n" ); document.write( "Factor: \n" ); document.write( "x(-x + 1) = 0 \n" ); document.write( "x = 0 \n" ); document.write( "and \n" ); document.write( "-x = -1 \n" ); document.write( "so \n" ); document.write( "x = +1 \n" ); document.write( "The y intercept is 0 because the 3rd term in the quadratic is 0 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Solve by completing the square \n" ); document.write( "x^2 - 18x + 80 = 0 \n" ); document.write( "x^2 - 18x + __ = -80 \n" ); document.write( "x^2 - 18x + 81 = -80 + 81 \n" ); document.write( "(x-9)^2 = +1 \n" ); document.write( "x - 9 = +/-SqRt[1] \n" ); document.write( "x = 9 + 1 \n" ); document.write( "x = 10 \n" ); document.write( "and \n" ); document.write( "x = 9 - 1 \n" ); document.write( "x = 8 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Is the following trinominal a perfect square \n" ); document.write( "x^2+12+36 \n" ); document.write( "Yes: FOIL (x+6)(x+6) \n" ); document.write( ":\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |