document.write( "Question 364165: write a quadratic equation in the variable x having given numbers as solutions. Type in standard form solution 9, only solution? \n" ); document.write( "

Algebra.Com's Answer #259713 by Earlsdon(6294) $\"\"$ $\"About$

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The solution(s) to a quadratic equation is(are) x = 9.
\n" ); document.write( "Yes, a quadratic equation may have a \"single\" solution, but this is known as a \"double\" solution.
\n" ); document.write( "To write the equation whose solution(s) is(are) x = 9, you will start by setting x = 9.
\n" ); document.write( "To get such a solution you must have found the factors of the quadratic equation to be:
\n" ); document.write( " $\"x-9+=+0\"$ and $\"x-9+=+0\"$ Now if you multiply these factors together, the result will be the generating quadratic equation:
\n" ); document.write( " $\"%28x-9%29%28x-9%29+=+x%5E2-18x%2B81\"$
\n" ); document.write( "So the equation is:
\n" ); document.write( " $\"highlight%28y+=+x%5E2-18x%2B81%29\"$
\n" ); document.write( "Here's the graph of this quadratic equation and you can see why there appears to be a \"single\" solution:
\n" ); document.write( " $\"graph%28400%2C400%2C-5%2C20%2C-5%2C100%2Cx%5E2-18x%2B81%29\"$ \n" ); document.write( "

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