document.write( "Question 1151036: Find the intersections of y=x^2 and y=0.9^x \n" ); document.write( "

Algebra.Com's Answer #772633 by Alan3354(69443) $\"\"$ $\"About$

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Find the intersections of y=x^2 and y=0.9^x
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\n" ); document.write( "x^2 = 0.9^x
\n" ); document.write( "x^2 - 0.9^x = 0
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\n" ); document.write( "There is no algebraic solution since x is in a term and in an exponent.
\n" ); document.write( "Use graphical or iterative methods.
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\n" ); document.write( " $\"0.9%5Ex+=+e%5E%28x%2A%28ln%280.9%29%29%29\"$
\n" ); document.write( "f(x) = $\"x%5E2+-+e%5E%28x%2A%28ln%280.9%29%29%29+=+0\"$
\n" ); document.write( "Differentiate
\n" ); document.write( "f'(x) = $\"2x+-+ln%280.9%29%2Ae%5E%28x%2A%28ln%280.9%29%29%29\"$
\n" ); document.write( "Use Newton-Raphson (or a graphing calculator)
\n" ); document.write( "email via the TY note for help or to check your work/answers.\r
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