document.write( "Question 379391: How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain. Provide your classmate’s with one or two solutions with which they must create a quadratic equation.
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Algebra.Com's Answer #269410 by Fombitz(32388) $\"\"$ $\"About$

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Use the discriminant.
\n" ); document.write( " $\"D=b%5E2-4ac\"$
\n" ); document.write( "If $\"D%3E0\"$ , two real solutions.
\n" ); document.write( "If $\"D=0\"$ , one real solutions.
\n" ); document.write( "If $\"D%3C0\"$ , two complex solutions.
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\n" ); document.write( "If the solutions are $\"a\"$ and $\"b\"$ , then
\n" ); document.write( " $\"f%28x%29=%28x-a%29%28x-b%29\"$
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\n" ); document.write( "Yes, but they are only different by a constant multiplier.
\n" ); document.write( " $\"f%28x%29=5%28x-2%29%28x-1%29\"$
\n" ); document.write( "and
\n" ); document.write( " $\"f%28x%29=12%28x-2%29%28x-1%29\"$ both has $\"x=1\"$ and $\"x=2\"$ but only differ by the constant multiplier in front.
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