document.write( "Question 420850: Hi, I'm having issues understanding a quadratic equation that was given to me as an example. I do not under stand the second line and how they got to it. Could someone please explain it or show the steps that were taken to get there.\r
\n" ); document.write( "\n" ); document.write( "The equation is d^2-7d+9=0. Here are the steps I was given.\r
\n" ); document.write( "\n" ); document.write( "d^=7d-9
\n" ); document.write( "d^2-7d+9=0
\n" ); document.write( "d=(7+_ Square root of 49-4(9)) divided by 2
\n" ); document.write( "d=(7+_squareroot of 49-36)/2
\n" ); document.write( "d= (7+- squareroot of 13) /2\r
\n" ); document.write( "\n" ); document.write( "Now I can see how step 1 to 2 is done that is simple and I can see how it goes from step 4 to the answer but I can not understand how to go from step 2 to step 3.\r
\n" ); document.write( "\n" ); document.write( "I have tried it myself. here is what I keep getting.
\n" ); document.write( "d^2=7d-9
\n" ); document.write( "d^2-7d+9=0
\n" ); document.write( "d(d-7)+9=0
\n" ); document.write( "d(d-7)=-9
\n" ); document.write( "d-7=-9/d
\n" ); document.write( "d=-9/d+7
\n" ); document.write( "2d=-9+7
\n" ); document.write( "2d=-2
\n" ); document.write( "d=-1\r
\n" ); document.write( "\n" ); document.write( "I know my answer is incorrect, Please Help me
\n" ); document.write( "

Algebra.Com's Answer #293956 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
The equation is d^2-7d+9=\r
\n" ); document.write( "\n" ); document.write( "add -9 to both sides\r
\n" ); document.write( "\n" ); document.write( "d^2-7d+9-9 =-9
\n" ); document.write( "we get d^2-7 = -9\r
\n" ); document.write( "\n" ); document.write( "Add a third term on the left side such that it becomes a perfect square. The same term you add on the right side\r
\n" ); document.write( "\n" ); document.write( "d^2-7d+49/4 = -9 +(49/4)\r
\n" ); document.write( "\n" ); document.write( "(d-7/2)^2= -9+(49/4)( take the LCD )\r
\n" ); document.write( "\n" ); document.write( "(d-7/2)^2=(-36+49)/4
\n" ); document.write( "(d-7/2)^2=13/4\r
\n" ); document.write( "\n" ); document.write( "Take the square root on both sides
\n" ); document.write( "d-7/2= +/- sqrt(13)/sqrt(4)\r
\n" ); document.write( "\n" ); document.write( "d1= 7/2+sqrt(13)/2
\n" ); document.write( "d=5.03\r
\n" ); document.write( "\n" ); document.write( "OR
\n" ); document.write( "d2= 7/2-sqrt(13)/2
\n" ); document.write( "1.697 \r
\n" ); document.write( "\n" ); document.write( "
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