document.write( "Question 473448: If 7 is the only solution to a quadratic equation, then how would I write it in standard form? \n" ); document.write( "
Algebra.Com's Answer #324717 by karaoz(32)\"\" \"About 
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Standard form of a quadratic equation is:
\n" ); document.write( "ax2 + bx + c = 0, where a, b and c are some constants.

\n" ); document.write( "If we are given solutions to a quadratic equation as x1 and x2, then these solutions must satisfy the following quadratic equation:
\n" ); document.write( "(x - x1)(x - x2) = 0

\n" ); document.write( "If 7 is the only solution to a quadratic equation, this means that both solutions,
\n" ); document.write( "x1 and x2 happened to be the same number, which is 7.
\n" ); document.write( "Hence, a quadratic equation whose only solution is 7 can be written as:
\n" ); document.write( "(x - 7)(x - 7) = 0,
\n" ); document.write( "which can be transformed into standard form by expanding the brackets and simplifying.

\n" ); document.write( "The resulting equation is:
\n" ); document.write( "x2 - 14x + 49 = 0
\n" ); document.write( "This quadratic equation is one possible answer to your question.

\n" ); document.write( "However, the are infinite number of quadratic equations whose only solution is 7.
\n" ); document.write( "The class of these equations can be described as:
\n" ); document.write( "kx2 - 14kx + 49k = 0,
\n" ); document.write( "where k is any real number. \n" ); document.write( "
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