document.write( "Question 1096421: When solving for complementary angle if c= X 2 -4x+29 and D= 2x+13 \n" ); document.write( "

Algebra.Com's Answer #710832 by greenestamps(13200) $\"\"$ $\"About$

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If angles C and D are complementary, then the sum of their measures is 90. So
\n" ); document.write( " $\"%28x%5E2-4x%2B29%29+%2B+%282x%2B13%29+=+90\"$
\n" ); document.write( " $\"x%5E2-2x%2B42+=+90\"$
\n" ); document.write( " $\"x%5E2-2x-48+=+0\"$
\n" ); document.write( " $\"%28x-8%29%28x%2B6%29+=+0\"$

\n" ); document.write( "x = 8 or x = -6

\n" ); document.write( "Now check to see if they both satisfy the original problem....

\n" ); document.write( "x = 8: $\"C+=+x%5E2-4x%2B29+=+64-32%2B29+=+61\"$ ; $\"D+=+2x%2B13+=+16%2B13+=+29\"$ ; 61+29 = 90 YES!

\n" ); document.write( "x = -6: $\"C+=+x%5E2-4x%2B29+=+36%2B24%2B29+=+89\"$ ; $\"D+=+2x%2B13+=+-12%2B13+=+1\"$ ; 89+1 = 90 YES!

\n" ); document.write( "There are two solutions to the problem:
\n" ); document.write( "(1) x = 8, making the two angles 61 and 29; and
\n" ); document.write( "(2) x = -6, making the two angles 89 and 1 \n" ); document.write( "

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