document.write( "Question 1117499: (x^4 + 2xi) - (3x^2 + yi) = (3 - 5i) + (1 +2yi) \n" ); document.write( "

Algebra.Com's Answer #732621 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Equate the real and imaginary parts of the equation....

\n" ); document.write( " $\"%28x%5E4+%2B+2xi%29+-+%283x%5E2+%2B+yi%29+=+%283+-+5i%29+%2B+%281+%2B2yi%29\"$

\n" ); document.write( " $\"x%5E4-3x%5E2+=+4\"$ ; $\"2x-y+=+-5%2B2y\"$

\n" ); document.write( "Solve the equation for the real parts to find the value(s) of x:

\n" ); document.write( " $\"x%5E4-3x%5E2-4+=+0\"$
\n" ); document.write( " $\"%28x%5E2-4%29%28x%5E2%2B1%29+=+0\"$

\n" ); document.write( "There are 4 values for x: 2, -2, i, and -i.

\n" ); document.write( "Solve the equation for the imaginary parts to find the corresponding values of y:

\n" ); document.write( " $\"2x-y+=+-5%2B2y\"$

\n" ); document.write( " $\"3y+=+2x%2B5\"$

\n" ); document.write( " $\"y+=+%282x%2B5%29%2F3\"$

\n" ); document.write( "4 solutions:
\n" ); document.write( "(1) x = 2; y = (4+5)/3 = 3
\n" ); document.write( "(2) x = -2' y = (-4+5)/3 = 1/3
\n" ); document.write( "(3) x = i; y = (2i+5)/3
\n" ); document.write( "(4) x = -i; y = (-2i+5)/3 \n" ); document.write( "

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