document.write( "Question 149758: Create 3 quadratioc equations using the form ax^2+bx+c=0 as integers, as rational numbers, as irrational numbers. Please help me, I am so totally lost on this question. Thanking you in advance for your time! \n" ); document.write( "

Algebra.Com's Answer #109941 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I think what is wanted is for you to start with the roots and
\n" ); document.write( "work backwards to get the equations
\n" ); document.write( "Quadratics have at most 2 roots, so start with, for example
\n" ); document.write( " $\"x+=+4\"$
\n" ); document.write( " $\"x+=+-1\"$
\n" ); document.write( "then
\n" ); document.write( " $\"x+-+4+=+0\"$
\n" ); document.write( " $\"x+%2B+1+=+0\"$
\n" ); document.write( "To get the equation:
\n" ); document.write( " $\"%28x+-+4%29%28x+%2B+1%29\"$
\n" ); document.write( " $\"x%5E2+-+3x+-+4\"$ with integers
\n" ); document.write( "--------------------
\n" ); document.write( "Now for rationals:
\n" ); document.write( " $\"x+=+-1\"$
\n" ); document.write( " $\"x+=+3.71\"$
\n" ); document.write( " $\"x+%2B+1+=+0\"$
\n" ); document.write( " $\"x+-+3.71+=+0\"$
\n" ); document.write( " $\"%28x+%2B+1%29%28x+-+3.71%29\"$
\n" ); document.write( " $\"x%5E2+-+2.71+-+3.71\"$
\n" ); document.write( "---------------------
\n" ); document.write( "irrationals:
\n" ); document.write( " $\"x+=+pi\"$
\n" ); document.write( " $\"x+=+sqrt%283%29\"$
\n" ); document.write( " $\"%28x+-+pi%29%28x+-+sqrt%283%29%29\"$
\n" ); document.write( " $\"x%5E2+-+%28pi+%2B+sqrt%283%29%29%2Ax+%2B+pi%2Asqrt%283%29\"$ \n" ); document.write( "

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