document.write( "Question 1189159: Solve the roots of the equation by completing the square. Leave all answers in exact values with the most simplified form:\r
\n" ); document.write( "\n" ); document.write( "3x^2 + 2x + 7/3 = 0 \n" ); document.write( "
Algebra.Com's Answer #820478 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
Solve the roots of the equation by completing the square. Leave all answers in exact values with the most simplified form:\r
\n" ); document.write( "\n" ); document.write( "3x^2 + 2x + 7/3 = 0
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\"matrix%281%2C3%2C+3x%5E2+%2B+2x+%2B+7%2F3%2C+%22=%22%2C+0%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C+3%28x%5E2+%2B+%282%2F3%29x+%2B+7%2F9%29%2C+%22=%22%2C+3%280%29%29\" -- Factoring out 3, to make the coefficient on the x2, 1\r\n" );
document.write( "\"matrix%281%2C3%2C+x%5E2+%2B+%282%2F3%29x+%2B+7%2F9%2C+%22=%22%2C+0%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C+x%5E2+%2B+%282%2F3%29x%2C+%22=%22%2C+-+7%2F9%29\" ---------- Subtracting \"7%2F9\" from each side, to move constant to right of equals sign\r\n" );
document.write( " ------ Taking , squaring it, and then ADDING the result to both sides of equation\r\n" );
document.write( "\"matrix%281%2C3%2C+%28x+%2B+1%2F3%29%5E2%2C+%22=%22%2C+-+7%2F9+%2B+1%2F9%29\"\r\n" );
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document.write( " ------- Taking square root of both sides\r\n" );
document.write( "\"matrix%281%2C3%2C+x+%2B+1%2F3%2C+%22=%22%2C+%22+%22+%2B-sqrt%28%282%2F3%29+%2A+-+1%29%29\" \r\n" );
document.write( "\"matrix%281%2C3%2C+x+%2B+1%2F3%2C+%22=%22%2C+%22+%22+%2B-sqrt%282%2F3%29i%29\" \r\n" );
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document.write( "Those are the EXACT solutions. Accept no other answers.
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