document.write( "Question 623440: x² – 13x – 5 = 0 I need to solve this by completing the square.Which I think I have done? I also need to solve it graphically using the intersections of two equations. I'm not which two equations to use or how the intersction will help me find the solution?\r
\n" ); document.write( "\n" ); document.write( "Here is my work: completing the square\r
\n" ); document.write( "\n" ); document.write( "x² – 13x – 5 = 0
\n" ); document.write( "(x² -13x + 169/4)-5- 169/4 = 0
\n" ); document.write( "(x-13/2)(x-13/2)- 147/4 =0
\n" ); document.write( "(x- 13/2)² - 147/4 =0
\n" ); document.write( "(x- 13/2)² = 147/4 Take the square root of both sides
\n" ); document.write( "x- 13/2 = +- the square root of 147/4
\n" ); document.write( "x= +- the square root of 147/2 + 13/2\r
\n" ); document.write( "\n" ); document.write( "Is this right? I feel like I'm missing something or doing something wrong.
\n" ); document.write( "Thanks for all of the help!
\n" ); document.write( "

Algebra.Com's Answer #392108 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
x² – 13x – 5 = 0 I need to solve this by completing the square.Which I think I have done? I also need to solve it graphically using the intersections of two equations. I'm not which two equations to use or how the intersction will help me find the solution?
\n" ); document.write( "Here is my work: completing the square
\n" ); document.write( "x² – 13x – 5 = 0
\n" ); document.write( "(x² -13x + 169/4)-5- 169/4 = 0
\n" ); document.write( "(x-13/2)(x-13/2)- 147/4 =0 ************** c = -189/4
\n" ); document.write( "(x- 13/2)² - 147/4 =0
\n" ); document.write( "(x- 13/2)² = 147/4 Take the square root of both sides
\n" ); document.write( "x- 13/2 = +- the square root of 147/4
\n" ); document.write( "x= +- the square root of 147/2 + 13/2
\n" ); document.write( "Is this right? I feel like I'm missing something or doing something wrong.
\n" ); document.write( "Thanks for all of the help!
\n" ); document.write( "-----------
\n" ); document.write( "It's correct except for the -147/4
\n" ); document.write( "Put the c on the right side early, makes it simpler.
\n" ); document.write( "\"x%5E2+-+13x+-+5+=+0\"
\n" ); document.write( "\"x%5E2+-+13x+=+5\"
\n" ); document.write( "\"x%5E2+-+13x+%2B+169%2F4+=+169%2F4+%2B+5+=+189%2F4\"
\n" ); document.write( "\"%28x+-+13%2F2%29%5E2+=+189%2F4\"
\n" ); document.write( "\"x+-+13%2F2+=+sqrt%28189%2F4%29+=+%283%2F2%29%2Asqrt%2821%29\"
\n" ); document.write( "etc
\n" ); document.write( "
\n" );