\(5^{x+3}+\dfrac{5}{6}\cdot5^{x+4}=\dfrac{275}{2}\)
\(\Rightarrow5^{x+3}+\dfrac{5}{6}\cdot5^{x+3}\cdot5=\dfrac{275}{2}\)
\(\Rightarrow5^{x+3}\cdot\left(1+\dfrac{5}{6}\cdot5\right)=\dfrac{275}{2}\)
\(\Rightarrow5^{x+3}\cdot\dfrac{31}{6}=\dfrac{275}{2}\)
\(\Rightarrow5^{x+3}=\dfrac{275}{2}:\dfrac{31}{6}\)
\(\Rightarrow5^{x+3}=\dfrac{825}{31}\)
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Tính:
a) (x^5 +12x^2 + 5x) : (3x)
b) (-5x^4 + 15x^3 - 18x) : (-5x)
c) (-x^6 +5x^4 - 2x^3) : 0,5x
Tìm x biết:
a) 4(18-5x) - 12(3x-7) = 15(2x-16) - 6(x+14)
b) 5(3x+5) - 4(2x-3) = 5x+3(2x+12)+1
c)2(5x-8) - 3(4x-5) = 4(3x-4) + 11
d) 5x-3 {4x-2 [4x-3(5x-2)]}=182
Tìm x biết :
a, 4.(18 - 5x) - 12.(3x - 7) = 15.(2x - 16) - 6(x + 14)
b, 5.(3x + 5) - 4.(2x - 3) = 5x + 3.(2x + 12) + 1
c, 2.(5x - 8) - 3.(4x - 5) = 4.(3x - 4) + 11
d, (3x + 2)(2x + 9) - (x + 2)(6x + 1) = (x + 1) - (x - 6)
e, (8x - 3)(3x + 2) - (4x + 7)(x + 4)= (2x + 1)(5x - 1) - 33
Bài 4: Cho hai đa thức:
P(x)= \(x^5-2x^2+7x^4-9x^3-x+2x^2-5x^4\)
Q(x)= \(5x^4-x^5+4x^2-6+9x^3-8+x^5\)
Tính M(\(\dfrac{1}{2}\))
Tìm x, biết :
|5x - 4| = |x + 2|
|2x - 3| - |3x + 2| = 0
|5/4. x - 7/2| - | 5/8. x + 3/5| = 0
|7x + 1| - |5x + 6| = 0
A) 4(3x-2)-3(5x+6)=35
B)3x(2x-2)-6(x-4)=122
C) x2 -5x=0
D) /3x-2/(x+1/5)=x+1/5
Bài 1: Tìm nghiệm của các đa thức sau:
1, (x-4)2-(2x+1)2
2, x3 +x2-4x-4
3, x3+x2+4
4, 2x3 +5x2+5x+2
5, 6x4-5x3-38x2-5x+6
6, (8x+5)(4x+3)(2x+1)-9
7, (x-6)(x4)(x+1)(x-1)
8, (x+5)+(x+7)4-12
9, 3x4-7x2-10
10, (8x-7)(8x-5)(2x-1)(4x-1)-9
Bài 4: Cho hai đa thức:
P(x)= \(x^5-2x^2+7x^4-9x^3-x+2x^2-5x^4\)
Q(x)= \(5x^4-x^5+4x^2-6+9x^3-8+x^5\)
c) Tính M(x)=P(x) + Q(x)
d) Tính M(2),M(-2),M(\(\dfrac{1}{2}\))
Tìm giá trị của đa thức sau:
\(E=5x^7+10x^6-20x^5-35x^4+20x^3-5x^2+40x+105\)biết \(x^6+2x^5-4x^4-7x^3+4x^2-x+8=0\)
