document.write( "Question 950747: how many solutions are in an equation and how do u tell? \n" ); document.write( "

Algebra.Com's Answer #580573 by Fombitz(32388) $\"\"$ $\"About$

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Difficult question to answer and depends on what you mean by solution.
\n" ); document.write( " $\"x%5E2%2B1=0\"$ has no solution over the real numbers but over the complex plane $\"x=i\"$ and $\"x=-i\"$ are both solutions.
\n" ); document.write( "So for polynomials, if the degree of the polynomial is n, there are n roots which may be real or complex.
\n" ); document.write( "For other equations, it depends on the type of equation.
\n" ); document.write( "Example,
\n" ); document.write( " $\"sin%28theta%29=1.1\"$ has no real solutions since the sine function has a maximum of 1.
\n" ); document.write( " $\"2%5Ex=-1\"$ also has no real solutions, again the complex plane offers solutions.
\n" ); document.write( "Hope this helps to answer your question.\r
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