Posted by Bajisha on Sunday, September 27, 2009 at 3:34pm.
I'm trying to learn the difference between conditional and identity equations. Can you please check my work??
12). 3(x+2)=5x+4. I said conditional because on the one side x needed to equal negative two while on the other, it needed to equal .8.
15). (4x+1)2x=2(x+2) I said identity.
18). x^2+2(3x2)=x^2+6x4. I said Conditional, out of more of a guess than actual information. I reduced it to x^2+x=.60, but I was unsure how to figure out the left side of the reduction. Could you explain this??
Thanks!!!

Algebra  Reiny, Sunday, September 27, 2009 at 3:48pm
18.
x^2+2(3x2)=x^2+6x4
x^2 + 6x  4 = x^2 + 6x  4
clearly an identity, that is, the equation is true for all values of x
15.
(4x+1)2x=2(x+2)
4x + 1  2x = 2x + 4
2x + 1 = 2x = 4
1 = 4 , Oh really?
This equation has no solution.
It is neither an identity nor "conditional equation".
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