document.write( "Question 1071221: How can I solve the equation f(x)=2x^2-8x+2 through factoring? \n" ); document.write( "

Algebra.Com's Answer #686141 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "1.  There is no equation in your post.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2.  The fragment  \"f(x) = 2x^2 -8x + 2\"  is not an equation.\r\n" );
document.write( "\r\n" );
document.write( "    It is the definition of the function.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3.  Since there is no equation in your post, your request makes no sense.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "4.  Diagnosis: This post doesn't make sense.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------------
\n" ); document.write( "comment from student: I am the one who asked about 2x^2-8x+2. I would just like to say that, yes, I am aware
\n" ); document.write( "that this is the definition of a function, and I suppose I should have worded my question differently.
\n" ); document.write( "I was rather asking how to find the solutions to the function when it is set to equal zero.
\n" ); document.write( "Thank you for your 'feedback' but I think you could have been more helpful, or been able to fathom any logical solution
\n" ); document.write( "to what I was asking. It isn't that difficult to interpret, and it seems it made sense to two others who decided to help.
\n" ); document.write( "-----------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "My response.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "I am really glad to get your comment.\r\n" );
document.write( "\r\n" );
document.write( "So, I achieved my first goal to convince you that your original formulation was incorrect.\r\n" );
document.write( "\r\n" );
document.write( "In response, one tutor (josgarithmetic) explained you how to \"complete the square\".\r\n" );
document.write( "\r\n" );
document.write( "The other tutor (addingup) showed you how to take the factor \"2\" out the parentheses.\r\n" );
document.write( "\r\n" );
document.write( "So, nobody understood your request. Nobody understood what you really want.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is not amazing.\r\n" );
document.write( "Yet, we didn't learn to read your thoughts remotely.\r\n" );
document.write( "We only can read what is written in your post.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Now let's return to your ACTUAL request.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( " = \r\n" );
document.write( "\r\n" );
document.write( "The discriminant d = b^2 - 4ac = (-8)^2 - 4*2*2 = 64 - 16 = 48 is not a perfect square of an integer. \r\n" );
document.write( "\r\n" );
document.write( "So, the equation (and the function) is not factorable in common sense.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The roots are  =  =  = .\r\n" );
document.write( "\r\n" );
document.write( "I.e.   = ,   = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "If you want, you can factor the equation (the function) in this way:\r\n" );
document.write( "\r\n" );
document.write( "f(x) =  = .\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I think, had I not disturb you with my first response, you'd never learned what I wrote to you in this part.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "And the best you can do in response is to say \"thanks\" to me and to learn my lesson.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );