document.write( "Question 142945: I can not figure out how to write a quadriatic equation where the answer is 3 ax^2+bx+c=0 is the formula\r
\n" ); document.write( "\n" ); document.write( "Thanks
\n" ); document.write( "Diane \n" ); document.write( "

Algebra.Com's Answer #104047 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
When you say that the answer is 3, this means that x = 3 is a solution, and since you have a quadratic equation, there must be two solutions.
\n" ); document.write( "So the two solutions are:
\n" ); document.write( "x = 3 and x = 3
\n" ); document.write( "The solutions of x = 3 mean that the parablola (the curve generated by the quadratic equation when graphed) intersects the x-axis at x = 3.
\n" ); document.write( "But, because the two solutions are identical, the parabola does not actually cross the x-axis, it merely touches the x-axis at the point x = 3.
\n" ); document.write( "To find the generating equation, take the x = 3 and subtract 3 from both sides to get:
\n" ); document.write( "(x-3) = 0 and (x-3) = 0 These are factors of the equation, so you would multiply these factors together to find the generating equation.
\n" ); document.write( " $\"%28x-3%29%28x-3%29+=+x%5E2-6x%2B9+=+0\"$ This is the generating equation! \n" ); document.write( "

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