a) 23+x=150
b) 300 : x - 18 =42.
c) 7x+3 = 723.78.
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
c: \(x^3-8x^2+x+42\)
\(=x^3+2x^2-10x^2-20x+21x+42\)
\(=\left(x+2\right)\left(x^2-10x+21\right)\)
\(=\left(x+2\right)\left(x-3\right)\left(x-7\right)\)
a: \(x^3+6x^2+11x+6\)
\(=x^3+3x^2+3x^2+9x+2x+6\)
\(=\left(x+3\right)\left(x^2+3x+2\right)\)
\(=\left(x+3\right)\left(x+1\right)\left(x+2\right)\)
a) x + 118 = 218
x = 218 – 118
x = 100
b) 18 – x = -17
X = 18 – (-17)
X = 35
c) (-18) – x = -17
X = (-18) – (-17)
X = -1
d)124 + (118 – x) = 217
118 – x = 93
X = 118 – 93
X = 25
e) (3x – 6).3 = 34
(3x – 6).3 = 81
3x – 6 = 27
3x = 33
ð X = 11
g) 23.(42 – x) = 46
42 – x = 2
ð X = 40
h) 84 – (3x + 8) = 34
3x + 8 = 84 – 34
3x + 8 = 50
3x = 50 – 8
3x = 42
X = 42 : 3
ð X = 14
i) 3.(2x + 1) – 19 = 14
3.(2x + 1) = 14 + 19
3.(2x + 1) = 33
2x + 1 = 33 : 3
2x + 1 = 11
2x = 11 – 1
2x = 10
X = 10 : 2
ð X = 5
k) 6x – 302 = 23.5
6x – 302 = 40
6x = 40 + 302
6x = 342
X = 342 : 6
ð X = 57
m) (x – 1)2 = 81
(x – 1)2 = 92
ð X – 1 = 9
ð X = 9 + 1
ð X = 10
n) 2x+1 – 5 = 27
2x+1 = 27 + 5
2x+1 = 32
2x+1 = 25
ð X = 4
a) \(\dfrac{27}{2}\cdot7,5+\dfrac{27}{2}\cdot2,5-150\)
\(=\dfrac{27}{2}\cdot\left(7,5+2,5\right)-150\)
\(=\dfrac{27}{2}\cdot10-150\)
\(=135-150\)
\(=-15\)
b) \(3^3\cdot\dfrac{18}{5}-3^3\cdot2\dfrac{2}{5}-3^3\cdot\dfrac{6}{5}\)
\(=3^3\cdot\dfrac{18}{5}-3^3\cdot\dfrac{12}{5}-3^3\cdot\dfrac{6}{5}\)
\(=3^3\cdot\left(\dfrac{18}{5}-\dfrac{12}{5}-\dfrac{6}{5}\right)\)
\(=3^3\cdot\left(\dfrac{18}{5}-\dfrac{18}{5}\right)\)
\(=3^3\cdot0\)
\(=0\)
a)(x + 4) - 32 = 23
x + 4 = 23 + 32 = 55
x = 55 - 4 = 51
b) 150 - 3x = 60
3x = 150 - 60 = 90
x = 90 : 3 = 30
c) 7x + 2x - 10 = 80
9x = 80 + 10 = 90
x = 90 : 9 = 10
d) 300 - 2(x - 3) = 100
2x - 2 * 3 = 300 - 100 = 200
2x - 6 = 200
2x = 200 + 6 = 206
x = 206 : 2 = 103
a) Ta có: \(x^4+3x^3-7x^2-27x-18\)
\(=x^4-3x^3+6x^3-18x^2+11x^2-33x+6x-18\)
\(=x^3\left(x-3\right)+6x^2\left(x-3\right)+11x\left(x-3\right)+6\left(x-3\right)\)
\(=\left(x-3\right)\left(x^3+6x^2+11x+6\right)\)
\(=\left(x-3\right)\left(x^3+x^2+5x^2+5x+6x+6\right)\)
\(=\left(x-3\right)\left[x^2\left(x+1\right)+5x\left(x+1\right)+6\left(x+1\right)\right]\)
\(=\left(x-3\right)\left(x+1\right)\left(x^2+5x+6\right)\)
\(=\left(x-3\right)\left(x+1\right)\left(x+2\right)\left(x+3\right)\)
b) Ta có: \(x^3-8x^2+x+42\)
\(=x^3-7x^2-x^2+7x-6x+42\)
\(=x^2\left(x-7\right)-x\left(x-7\right)-6\left(x-7\right)\)
\(=\left(x-7\right)\left(x^2-x-6\right)\)
\(=\left(x-7\right)\left(x-3\right)\left(x+2\right)\)
c) Ta có: \(x^4+5x^3-7x^2-41x-30\)
\(=x^4+5x^3-7x^2-35x-6x-30\)
\(=x^3\left(x+5\right)-7x\left(x+5\right)-6\left(x+5\right)\)
\(=\left(x+5\right)\left(x^3-7x-6\right)\)
\(=\left(x+5\right)\left(x^3-x-6x-6\right)\)
\(=\left(x+5\right)\left[x\left(x^2-1\right)-6\left(x+1\right)\right]\)
\(=\left(x+5\right)\left[x\left(x-1\right)\left(x+1\right)-6\left(x+1\right)\right]\)
\(=\left(x+5\right)\left(x+1\right)\left(x^2-x-6\right)\)
\(=\left(x+5\right)\left(x+1\right)\left(x-3\right)\left(x+2\right)\)
a ) \(==>x^3.\left(x+3\right)-\left(7x^2+27x+18\right)\)
ko xét phần x^3.( x+3 ) nữa mà mik phân tích trong ngoặc nha zo thi ko lm như vậy mà ghi lại phần đó nha
\(7x^2+21x+6x+18\)
\(7x\left(x+3\right)+6\left(x+3\right)\)
\(\left(x+3\right)\left(7x+6\right)\)
==> \(x^3.\left(x+3\right)-\left(x+3\right)\left(7x+6\right)\)
==>\(\left(x+3\right)\left(x^3-7x-6\right)\)
x - 18 - 42 = 23 - 43 - 70 - x
\(\rightarrow\) 2x = -30
\(\rightarrow\) x = -15
\(\left(-\left(x+15\right)\right)^2\) - 19 = \(3^2\) .5
\(\rightarrow\)\(x^2+30x+225\) - 19 = 45
\(\rightarrow x^2+30x+161=0\)
\(\rightarrow x^2+23x+7x+161=0\)
\(\rightarrow x\left(x+23\right)+7\left(x+23\right)=0\)
\(\rightarrow\left(x+7\right)\left(x+23\right)=0\)
\(\rightarrow\) x = -7 hoặc x = -23
\(a,\Rightarrow x=150-23=127\\ b,\Rightarrow300:x=42+18=60\\ \Rightarrow x=300:60=5\\ c,\Rightarrow7^{x+3}=7^{23+8}=7^{31}\\ \Rightarrow x+3=31\Rightarrow x=28 \)
a) \(\Rightarrow x=150-23\)
\(\Rightarrow x=127\)
b) \(\Rightarrow300:x=60\)
\(\Rightarrow x=5\)
c) \(\Rightarrow7^{x+3}=7^{31}\)
\(\Rightarrow x+3=31\Rightarrow x=28\)