document.write( "Question 356863: can the roots of x^2-7x+4=0 be found by factoring? explain. \n" ); document.write( "

Algebra.Com's Answer #254788 by Fombitz(32388) $\"\"$ $\"About$

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No, if you look at the discriminant,
\n" ); document.write( " $\"D=b%5E2-4ac\"$
\n" ); document.write( " $\"D=49-4%281%29%284%29\"$
\n" ); document.write( " $\"D=49-16\"$
\n" ); document.write( " $\"D=33\"$
\n" ); document.write( "Since it's not a perfect square, you will have two irrational roots.
\n" ); document.write( "To factor you need integer roots, which happen when the discriminant is a perfect square.
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