tìm 2 giá trị của x biết: 10,3 < x < 10,4
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a) x = 0,51 ; 0,52 ; 0,53 ;...
b) x = 10,21 ; 10,22 ; 10,23; ...
c) x = 5,2 ; 5,3 ; 5,4
d) x = 1,100 ; 1,102 ; 1,1 03
a) Ta có:
1; 4; 7;...; 100 có (100 - 1) : 3 + 1 = 34 (số)
1 + 4 + 7+ ... + 100 = (100 + 1) × 34 : 2
= 101 × 17
(1 + 4 + 7 + ... + 100) : a = 17
101 × 17 : a = 17
a = 101 × 17 : 17
a = 100
b) (X - 1/2) × 5/3 = 7/4 - 1/2
(X - 1/2) × 5/3 = 5/4
X - 1/2 = 5/4 : 5/3
X - 1/2 = 3/4
X = 3/4 + 1/2
X = 5/4
a) (1 + 4 + 7 +...+ 100) : a = 17
1717 : a = 17
a = 101
b) \(\left(x-\dfrac{1}{2}\right)\times\dfrac{5}{3}=\dfrac{7}{4}-\dfrac{1}{2}\)
\(\left(x-\dfrac{1}{2}\right)\times\dfrac{5}{3}=\dfrac{10}{8}\)
\(\left(x-\dfrac{1}{2}\right)=\dfrac{10}{8}\div\dfrac{5}{3}\)
\(\left(x-\dfrac{1}{2}\right)=\dfrac{10}{8}\times\dfrac{3}{5}\)
\(\left(x-\dfrac{1}{2}\right)=\dfrac{3}{4}\)
\(x-\dfrac{1}{2}=\dfrac{3}{4}\)
\(x=\dfrac{3}{4}+\dfrac{1}{2}\)
\(x=\dfrac{5}{4}\)
a) đK: \(x\ne0;2\)
B = \(\dfrac{3x-4}{x\left(x-2\right)}.\dfrac{x\left(x-2\right)}{x^2-4-x^2}=\dfrac{3x-4}{-4}=\dfrac{4-3x}{4}\) \(\dfrac{x-4+2x}{x\left(x-2\right)}:\dfrac{\left(x-2\right)\left(x+2\right)-x^2}{x\left(x-2\right)}\)
= \(\dfrac{3x-4}{x\left(x-2\right)}.\dfrac{x\left(x-2\right)}{x^2-4-x^2}=\dfrac{4-3x}{4}\)
b) Thay x = -2 (TMDK) vào B, ta có:
\(B=\dfrac{4-3.\left(-2\right)}{4}=\dfrac{4+6}{4}=\dfrac{5}{2}\)
c) Để \(\left|B\right|-2x=5\)
<=> \(\left|\dfrac{4-3x}{4}\right|-2x=5\)
TH1: \(x\le\dfrac{4}{3}\)
<=> \(\left|\dfrac{4-3x}{4}\right|=\dfrac{4-3x}{4}\)
PT <=> \(\dfrac{4-3x}{4}-2x=5\)
<=> \(\dfrac{4-3x-8x}{4}=5\)
<=> \(4-11x=20\)
<=> x = \(\dfrac{-16}{11}\) (Tm)
TH2: \(x>\dfrac{4}{3}\)
<=> \(\left|\dfrac{4-3x}{4}\right|=\dfrac{3x-4}{4}\)
PT <=> \(\dfrac{3x-4}{4}-2x=5\)
<=> \(\dfrac{3x-4-8x}{4}=5\)
<=> \(-5x-4=20\)
<=> \(x=\dfrac{-24}{5}\left(l\right)\)
d) Xét (2-x)B = \(\dfrac{\left(2-x\right)\left(4-3x\right)}{4}\) = \(\dfrac{3x^2-10x+8}{4}\)
= \(\dfrac{3\left(x-\dfrac{5}{3}\right)^2-\dfrac{1}{3}}{4}\)
Mà \(3\left(x-\dfrac{5}{3}\right)^2\ge\) 0
=> (2-x)B \(\ge\dfrac{\dfrac{-1}{3}}{4}=\dfrac{-1}{12}\)
Dấu "=" <=> x = \(\dfrac{5}{3}\left(tm\right)\)
e) Số nguyên âm lớn nhất là -1
Để B = -1
<=> \(\dfrac{4-3x}{4}=-1\)
<=> 4 - 3x = -4
<=> \(x=\dfrac{8}{3}\left(tm\right)\)
g)
TH1: \(x\le\dfrac{4}{3}\)
<=> \(\left|\dfrac{4-3x}{4}\right|=\dfrac{4-3x}{4}\)
BDT <=> \(\dfrac{4-3x}{4}< 2x-4\)
<=> \(4-3x< 8x-16\)
<=> \(x>\dfrac{20}{11}\left(l\right)\)
TH2: \(x>\dfrac{4}{3}\)
<=> \(\left|\dfrac{4-3x}{4}\right|=\dfrac{3x-4}{4}\)
BDT <=> \(\dfrac{3x-4}{4}< 2x-4\)
<=> \(3x-4< 8x-16\)
<=> x > \(\dfrac{12}{5}\)
KHDK: \(x>\dfrac{12}{5}\)
x=10,31;10,32
mk chắc chắn đúng
tk cho mk nha
ai tk cho mk thì mk tk lại cho
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