Posted by ggift on Thursday, September 17, 2009 at 3:19pm.
x^2 + 6 = 8x
Is this linear, quadratic or exponential??

ALGEBRA  MathMate, Thursday, September 17, 2009 at 4:10pm
Linear will have terms containing variables not raised to any power, as well as constant terms.
Example: 2y+4x3=0
A quadratic expression will have terms containing the variable raised to a maximum power of 2.
Example: x²+3x4=0
An exponential expression will have terms which raise to a power containing the variable.
Example: 4^{x+4  65536 =0}

ALGEBRA  ggift, Thursday, September 17, 2009 at 4:39pm
So with the X being squared it would be exponential then?

ALGEBRA  MathMate, Thursday, September 17, 2009 at 5:31pm
x² 's exponent does not contain x, so it is not exponential.
It is exponential when the variable (for example, x) is found in the exponent, as in 3^{x}+4^{x} = 5^{x}.
So x² is NOT exponential.
If you reread the examples, it will be much clearer.
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