document.write( "Question 1206854: Good afternoon please help me solve the following equation\r
\n" ); document.write( "\n" ); document.write( "2𝑥^2 − 9𝑥 + 5 = 0 Using completing the square method
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Algebra.Com's Answer #844533 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
equation to be solved is 2x^2 - 9x + 5.\r
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\n" ); document.write( "\n" ); document.write( "set the equation equal to 0 to get 2x^2 - 9x + 5 = 0\r
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\n" ); document.write( "\n" ); document.write( "divide both sides of the equation by 2 to get a coefficient of 1 in the x^2 term.\r
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\n" ); document.write( "\n" ); document.write( "you will get x^2 - 9/2 * x + 5/2 = 0\r
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\n" ); document.write( "\n" ); document.write( "subtract 5/2 from both sides of the equation to get x^2 - 9/2 * x = -5/2\r
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\n" ); document.write( "\n" ); document.write( "complete the squares for x^2 - 9/2 * x as shown below:\r
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\n" ); document.write( "\n" ); document.write( "(x - 9/4)^2 - 81/16 = -5/2\r
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\n" ); document.write( "\n" ); document.write( "you took half of the constant term of -9/2 to get -9/4 and you squared -9/4 to get 81/16.\r
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\n" ); document.write( "\n" ); document.write( "add 81/16 to both sides of the equation to get (x - 9/4)^2 = -5/2 + 81/16.\r
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\n" ); document.write( "\n" ); document.write( "take the square root of both sides of the equation to get:\r
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\n" ); document.write( "\n" ); document.write( "(x - 9/4) = plus or minus sqrt(-5/2 + 81/16).\r
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\n" ); document.write( "\n" ); document.write( "solve for x to get:\r
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\n" ); document.write( "\n" ); document.write( "x = 9/4 + sqrt(-5/2 + 81/16) or x = 9/4 - sqrt(-5/2 + 81/16).\r
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\n" ); document.write( "\n" ); document.write( "the result will be:\r
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\n" ); document.write( "\n" ); document.write( "x = 3.850781059 or x = .6492189406.\r
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\n" ); document.write( "\n" ); document.write( "i used a the quadratic equation solve at https://www.mathsisfun.com/quadratic-equation-solver.html to get the same answer.\r
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\n" ); document.write( "\n" ); document.write( "here's a decent reference on how to solve a quadratic equation by using the completing the squares method.\r
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\n" ); document.write( "\n" ); document.write( "https://www.purplemath.com/modules/sqrquad.htm\r
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\n" ); document.write( "\n" ); document.write( "if you have any questions or you need further help on this, let me know.\r
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\n" ); document.write( "\n" ); document.write( "theo\r
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