document.write( "Question 269820: Please help me solve this problem by completing the square: \"+2h%5E2-5h%2B4=0+\". \n" ); document.write( "
Algebra.Com's Answer #197670 by drk(1908)\"\" \"About 
You can put this solution on YOUR website!
step 1 - factor out 2 from the first and second term to get
\n" ); document.write( "\"2%28h%5E2+-+%285%2F2%29h+%2B+_____+%29=+-4+%2B+_____\"
\n" ); document.write( "the blanks are waiting for certain numbers.
\n" ); document.write( "step 2 - take (1/2) of the middl term and square it. Put that number in the first blank.
\n" ); document.write( "\"2%28h%5E2+-+%285%2F2%29h+%2B+%28-5%2F4%29%5E2%29+=+-4+%2B+_____\"
\n" ); document.write( "step 3 - squaring it gives us 25/16, but we multiply this by 2 since there are 2 groups of these. We get 50/16. Now put this number into the other blank space to get
\n" ); document.write( "\"2%28h%5E2+-+%285%2F2%29h+%2B+%28-5%2F4%29%5E2%29+=+-4+%2B+50%2F16\"
\n" ); document.write( "step 4 - rewrite the trinomial as a binomial squared and simplify the right side to get
\n" ); document.write( "\"2%28h-5%2F4%29%5E2+=+14%2F16\"
\n" ); document.write( "step 5 - divide by 2 and reduce to get
\n" ); document.write( "\"%28h-5%2F4%29%5E2+=+7%2F16\"
\n" ); document.write( "step 6 - take a square root to get
\n" ); document.write( "\"%28h-5%2F4%29+=+%2B-sqrt%287%29%2F4\"
\n" ); document.write( "step 7 - add 5/4 to get
\n" ); document.write( "\"h+=+%285%2B-sqrt%287%29%29%2F4\"
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