Algebra.Com's Answer #78679 by MathLover1(20849)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
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document.write( " | Solved by pluggable solver: COMPLETING THE SQUARE solver for quadratics | \n" );
document.write( "Read this lesson on completing the square by prince_abubu, if you do not know how to complete the square.
Let's convert  to standard form by dividing both sides by 1:
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document.write( "We have: . \n" );
document.write( "What we want to do now is to change this equation to a complete square  . How can we find out values of somenumber and othernumber that would make it work?
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document.write( "Look at  :  . Since the coefficient in our equation  that goes in front of x is 4, we know that 4=2*somenumber, or  . So, we know that our equation can be rewritten as  , and we do not yet know the other number.
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document.write( "We are almost there. Finding the other number is simply a matter of not making too many mistakes. We need to find 'other number' such that is equivalent to our original equation  .
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document.write( " The highlighted red part must be equal to -1 (highlighted green part).
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document.write( "  , or  .
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document.write( "So, the equation converts to  , or  .
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document.write( " Our equation converted to a square  , equated to a number (5).
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document.write( " Since the right part 5 is greater than zero, there are two solutions:
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document.write( "Answer: x=0.23606797749979, -4.23606797749979.\n" );
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document.write( " | Solved by pluggable solver: COMPLETING THE SQUARE solver for quadratics | \n" );
document.write( "Read this lesson on completing the square by prince_abubu, if you do not know how to complete the square.
Let's convert  to standard form by dividing both sides by 1:
\n" );
document.write( "We have: . \n" );
document.write( "What we want to do now is to change this equation to a complete square . How can we find out values of somenumber and othernumber that would make it work?
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document.write( "Look at : . Since the coefficient in our equation  that goes in front of x is 6, we know that 6=2*somenumber, or  . So, we know that our equation can be rewritten as  , and we do not yet know the other number.
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document.write( "We are almost there. Finding the other number is simply a matter of not making too many mistakes. We need to find 'other number' such that is equivalent to our original equation  .
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document.write( " 
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document.write( " The highlighted red part must be equal to -4 (highlighted green part).
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document.write( "  , or  .
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document.write( "So, the equation converts to  , or  .
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document.write( " Our equation converted to a square  , equated to a number (13).
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document.write( " Since the right part 13 is greater than zero, there are two solutions:
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document.write( " , or
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document.write( "Answer: x=0.605551275463989, -6.60555127546399.\n" );
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document.write( " | Solved by pluggable solver: COMPLETING THE SQUARE solver for quadratics | \n" );
document.write( "Read this lesson on completing the square by prince_abubu, if you do not know how to complete the square.
Let's convert  to standard form by dividing both sides by 1:
\n" );
document.write( "We have: . \n" );
document.write( "What we want to do now is to change this equation to a complete square . How can we find out values of somenumber and othernumber that would make it work?
\n" );
document.write( "Look at : . Since the coefficient in our equation  that goes in front of x is -2, we know that -2=2*somenumber, or  . So, we know that our equation can be rewritten as  , and we do not yet know the other number.
\n" );
document.write( "We are almost there. Finding the other number is simply a matter of not making too many mistakes. We need to find 'other number' such that is equivalent to our original equation  .
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document.write( "
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document.write( " 
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document.write( " The highlighted red part must be equal to -5 (highlighted green part).
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document.write( "
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document.write( "  , or  .
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document.write( "So, the equation converts to  , or  .
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document.write( "
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document.write( " Our equation converted to a square  , equated to a number (6).
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document.write( " Since the right part 6 is greater than zero, there are two solutions:
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document.write( " , or
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document.write( "Answer: x=3.44948974278318, -1.44948974278318.\n" );
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