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超簡單自創數學題
112 個回應
過西客

Given that f(0) =/= 0, find all function(s) such that f(x)f(y)=f(xy) for any real numbers x,y.#bye#


#good2#2    #bad#3  
標籤:
X.y=3.14


Let z be the solution of x^5+x^4+x^3+x^2+x^1+1=0
find z^6.


X.y=3.14




提示: 同1, 0有關


Let z be the solution of x^5+x^4+x^3+x^2+x^1+1=0
find z^6.

1? :o)


Let z be the solution of x^5+x^4+x^3+x^2+x^1+1=0
find z^6.

1? :o)

step? :o)


Let z be the solution of x^5+x^4+x^3+x^2+x^1+1=0
find z^6.

1? :o)

step? :o)

心算:o)


Let z be the solution of x^5+x^4+x^3+x^2+x^1+1=0
find z^6.

1? :o)

step? :o)

乘(x-1)#yup# #yup#
之前見過類此題目


Given that f(0) =/= 0, find all function(s) such that f(x)f(y)=f(xy) for any real numbers x,y.#bye#

f(x) =0x + 1 ? :o)


x^5+x^4+x^3+x^2+x^1+1=0
Let x^5+x^4+x^3+x^2+x^1=-1
-1+1=0
z^6-1-z^6+1=0
z^6-1-(z^6-1)=0
(z^6-1)(1-1)=0
z^6-1=0
z^6=1
z=1 or -1
Since LHS will be same as RHS if sub z=-1 into x^5+x^4+x^3+x^2+x^1+1=0. So z=1 is rejected.


原來搵z^6
做多左:o)


Given that f(0) =/= 0, find all function(s) such that f(x)f(y)=f(xy) for any real numbers x,y.#bye#

No Solution #yup#


Given that f(0) =/= 0, find all function(s) such that f(x)f(y)=f(xy) for any real numbers x,y.#bye#

No Solution #yup#

點解?_? :~( :~(


Given that f(0) =/= 0, find all function(s) such that f(x)f(y)=f(xy) for any real numbers x,y.#bye#

f(x) =0x + 1 ? :o)

step? :o)


Given that f(0) =/= 0, find all function(s) such that f(x)f(y)=f(xy) for any real numbers x,y.#bye#

f(x) =0x + 1 ? :o)

step? :o)

心算:o)


Given that f(0) =/= 0, find all function(s) such that f(x)f(y)=f(xy) for any real numbers x,y.#bye#

f(x) =0x + 1 ? :o)

step? :o)

心算:o)

咁唔當你答左


Given that f(0) =/= 0, find all function(s) such that f(x)f(y)=f(xy) for any real numbers x,y.#bye#

f(x) =0x + 1 ? :o)

step? :o)

心算:o)

咁唔當你答左

Let x=0,
f(0)f(y) = f(0y)
f(0)f(y) = f(0)
.
.
f(y) = 1:o)


樓主公佈答案未


x^5+x^4+x^3+x^2+x^1+1=0
(x-1)(x^5+x^4+x^3+x^2+x^1+1)=0
x^6-1=0
x^6=1
z^6=1

f(0)f(y)=f(0)
f(0)(f(y)-1)=0
f(0)=0 (rej.) f(y)=1
f(y)=1


A+B+C+D=0
Show that B^2+C^2-4(AC+AD+AD+BD)>=0


A+B+C+D=0
Show that B^2+C^2-4(AC+AD+AD+BD)>=0

兩個AD?


A+B+C+D=0
Show that B^2+C^2-4(AC+AD+AD+BD)>=0

兩個AD?

yes


If a,b are roots of quadratic equation Ax^2+Bx+C+D=0
find a^4+b^4 if B=C+D.


f(x) = k for non-zero constant k O:-)


f(x) = k for non-zero constant k O:-)

(f(x))^2=k^2=/=k=f(x^2)#bye#cl


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