Tính : x^5 - 5x^4 + 5x^3 -5x^2 + 5x -1 với x= 4
A=x^5-5x^4+5x^3-5x^2+5x-1 tại x=4 tính giá trị
x^5-5x+5x^3-5x^2+5x-1 với x=4
Tại \(x=4\)thì:
\(x^5-5x^4+5x^3-5x^2+5x-1\)
= \(x^5-\left(x+1\right)x^4+\left(x+1\right)x^3-\left(x+1\right)x^2+\left(x+1\right)x-1\)
= \(x^5-x^4-x^4+x^4+x^3-x^3-x^2+x^2+x-1\)
= \(3\)
mình chỉnh lại đề nhé:
Do: \(x=4\)\(\Rightarrow\)\(x+1=5\)
\(x^5-5x^4+5x^3-5x^2+5x-1\)
\(=x^5-\left(x+1\right)x^4+\left(x+1\right)x^3-\left(x+1\right)x^2+\left(x+1\right)x-1\)
\(=x^5-x^5-x^4+x^4+x^3-x^3-x^2+x^2+x-1\)
\(=x-1\)
\(=4-1=3\)
cho f(x)= x*5-5x*4+5x*3-5x*2+5x-1 tính giá trị biểu thức f(x) tại x=4 bằng 2 cách nhanh nhất
Tính C=x5-5x4+5x3-5x2+5x-1 tại x=4
\(C=x^4\left(x-4\right)-x^3\left(x-4\right)+x^2\left(x-4\right)-x\left(x-4\right)+x-1\)
\(C=\left(x-4\right)\left(x^4-x^3+x^2-x\right)+\left(x-1\right)=\left(4-4\right)\left(4^4-4^3+4^2-4\right)+\left(4-1\right)=3\)
Thay x= 4 vào bth ta có:
C= 45 - 5.44+5.43-5.42+5.4-1
..... Tính bth trên bằg máy tính là ra kết quả lun nha
k mk. Nha
Giải phương trình:
(5x+1)/(x^2+5) + (5x+2)/(x^2+4) + (5x+3)/(x^2+3) + (5x+4)/(x^2+2) = -4
Giải phương trình:
(5x+1)/(x^2+5) + (5x+2)/(x^2+4) + (5x+3)/(x^2+3) + (5x+4)/(x^2+2) = -4
1. Rút Gọn
a) -5x (x-3).(2x+4)-(x+3)(x-3)+(5x-2)(3x+4)
b) (4x-1)x(3x+1)-5x^2x(x-3)-(x-4)x(x-5)-7(x^3-2x^2+x-1)
c) (5x-7)(x-9)-(3-x)(2-5x)-2x(x-4)
d)(5x-4)(x+5)-(x+1)(x^2-6)-5x+19
e)(9x^2-5)(x-3)-3x^2(3x+9)-(x-5)(x+4)-9x^3
g) (x-1)^2 - (x+2)^2
Thanks mn nhiều ạ
\(a,-5x\left(x-3\right)\left(2x+4\right)-\left(x+3\right)\left(x-3\right)+\left(5x-2\right)\left(3x+4\right)\)
\(=-5x\left(2x^2-x-12\right)-\left(x^2-9\right)+15x^2+20x-6x-8\)
\(=-10x^3+5x^2+60x-x^2+9+15x^2+20x-6x-8\)
\(=-10x^3+19x^2+74x+1\)
\(b,\left(4x-1\right)x\left(3x+1\right)-5x^2.x\left(x-3\right)-\left(x-4\right)x\left(x-5\right)\)\(-7\left(x^3-2x^2+x-1\right)\)
\(=\left(4x^2-x\right)\left(3x+1\right)-5x^4-15x^3-\left(x^2-4x\right)\left(x-5\right)\)\(-7x^3+14x^2-7x+7\)
\(=12x^3+x^2-x-5x^4-15x^3-x^3+9x^2+20x\)\(-7x^3+14x^2-7x+7\)
\(=-5x^4-11x^3+24x^2+12x+7\)
\(c,\left(5x-7\right)\left(x-9\right)-\left(3-x\right)\left(2-5x\right)-2x\left(x-4\right)\)
\(=5x^2-52x+63-6+17x-5x^2-2x^2+8x\)
\(=-2x^2-27x+57\)
\(d,\left(5x-4\right)\left(x+5\right)-\left(x+1\right)\left(x^2-6\right)-5x+19\)
\(=5x^2+21x-20-x^3-x^2+6x+6-5x+19\)
\(=-x^3+4x^2+22x+5\)
\(e,\left(9x^2-5\right)\left(x-3\right)-3x^2\left(3x+9\right)-\left(x-5\right)\left(x+4\right)-9x^3\)
\(=9x^3-27x^2-5x+15-9x^3-27x^2-x^2+x+20-9x^3\)
\(=-9x^3-55x^2+4x+35\)
\(g,\left(x-1\right)^2-\left(x+2\right)^2\)
\(=x^2-2x+1-x^2-4x-4\)
\(=-6x-3\)
a. P=(5x−1)2+2(1−5x)(4+5x)+(5x+4)2P=(5x−1)2+2(1−5x)(4+5x)+(5x+4)2
b. Q=(x−y)3+(y+x)3+(y−x)3−3xy(x+y)
Tình giá trị A= 5x^5 -5x^4-5x^3-5x^2+5x-1 tại x =4
Lời giải:
Tại $x=4$ thì:
\(A=5(x^5-x^4+x^3-x^2+x-1)-1\)
\(=(x+1)(x^5-x^4+x^3-x^2+x-1)-1=x^6+1-1=x^6\)
\(=4^6=4096\)