Compare two equations in Maple

Question

Do any of you know how to compare alternative forms of equations in maple? No matter of what maple says false when I try to compare my two equations but I know they are the same.

\begin{align*} f(x) &= \frac{\sqrt{3}}{4} - \frac{3}{2}x^{2} + 100x\\ g(x) &= x\left(100-\frac{3}{2}x\right) + \frac{1}{2}x^{2}\sin(60^{\circ}) \end{align*}

I've tried

is(f(x)=g(x))
evalb(f(x)=g(x))

so far so good, but both report false while I know they are the same equations and wolfrom also reports true.

Are those supposed to be $$f(x) = \frac{\sqrt{3}}{4} - \frac{3}{2}x^{2} + 100x,\quad g(x) = x\left(100-\frac{3}{2}x\right) + \frac{1}{2}xx\sin(60^{\circ})\ ?$$ — DMcMor, May 09 '17 at 22:07
yes they are. How did you write the equations that way? latex => png ? — Daniel Guldberg Aaes, May 09 '17 at 22:09
In $f (x) $ you missed the factor $x*x $ just after $\sqrt {3} $. — hamam_Abdallah, May 09 '17 at 22:09
Maple uses radians, not degrees. Hence $$60^\circ = \frac{1}{3} \pi,\text{ rad}.$$ — Eff, May 09 '17 at 22:37

hamam_Abdallah · Answer 1 · 2017-05-09T22:28:57.813

1

hint

replace $\sin (60) $ by $\sin (\frac \pi 3) $

and

add $x*x $ after $\sqrt {3} $ in the expression of $f (x) $ and try

simplify $ (f (x)-g (x));$

you should get $0$.

edited May 09 '17 at 22:28

answered May 09 '17 at 22:11

hamam_Abdallah

62,951

Sadly, I didn't – Daniel Guldberg Aaes May 09 '17 at 22:26
@DanielGuldbergAaes replace 60 by pi/3. – hamam_Abdallah May 09 '17 at 22:29
Gonna try that but I've all ready tried sqrt(4)/3 which is the same as sin(60) – Daniel Guldberg Aaes May 09 '17 at 22:31
@DanielGuldbergAaes No no it is \sqrt {3}/2 not the inverse. – hamam_Abdallah May 09 '17 at 22:33
So I did as you said and I still don't get 0 as a result – Daniel Guldberg Aaes May 09 '17 at 22:52
1

You shouldn't get 0 as a result, because the difference is not zero. – David G. Stork May 09 '17 at 23:48

score 0 · Answer 2 · answered May 10 '17 at 03:01

You are going to get the difference to be zero because your both equations/functions are not the same.

restart:
f:=(x)->sqrt(3)/4-3/2*x^2+100*x;
g:=(x)->x*(100-3/2*x)+1/2*x^2*sin(60);
f(x)-g(x);
evalf(simplify(%));

0.1524053106 $x^2$ + 0.4330127020

Compare two equations in Maple

2 Answers2

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