document.write( "Question 360025: Hi, I'm studying for a test and the problem below seems so simple, but I can't figure this out:\r
\n" ); document.write( "\n" ); document.write( "\"4%2Fx++-++3%2F%28x%2B1%29+++=+7\"\r
\n" ); document.write( "\n" ); document.write( "I multiplied by the lcd and got:\r
\n" ); document.write( "\n" ); document.write( "7x^2 + 6x - 4 = 0\r
\n" ); document.write( "\n" ); document.write( "I tried using the quadratic formula and got:\r
\n" ); document.write( "\n" ); document.write( "\"%28-6+%2B+sqrt%28-76%29%29%2F14\"
\n" ); document.write( "\"%28-6+-+sqrt%28-76%29%29%2F14\"\r
\n" ); document.write( "\n" ); document.write( "I get confused when I get a negative number in a square root, because we're learning about complex numbers in the same chapter so I don't understand why I can simplify this without using an imaginary number. \r
\n" ); document.write( "\n" ); document.write( "The answer on the review sheet is:\r
\n" ); document.write( "\n" ); document.write( "\"x+=+%28-3+-+sqrt%2837%29%29%2F7\"
\n" ); document.write( "\"x+=+%28-3+%2B+sqrt%2837%29%29%2F7\"\r
\n" ); document.write( "\n" ); document.write( "I honestly don't know how to get there. I simplified the sqrt(-76) and got 2sqrt(38) so how I'm supposed to end up with 37 in the sqrt has me really lost.\r
\n" ); document.write( "\n" ); document.write( "Please share your knowledge with me! I'm a little worried after struggling with this for a while now :-/\r
\n" ); document.write( "\n" ); document.write( "Thanks for your time.\r
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Algebra.Com's Answer #256867 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
it appears that you missed something in the QF\r
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\n" ); document.write( "\n" ); document.write( "b^2-4ac = 6^2 - (4)(7)(-4) = 36 - (-112) = 148 = 4 * 37
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