Tìm x biết:
X : 0,25 + X x 11=24
Please,help me,fast!!
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123,45 + 23,56 +76,44 + 54,55
= (123,45 + 54,55) + (23,56 + 76,44)
= 178 + 100
= 278
456 x 45 + 456 x 10 + - 456 x 55
=456 x (45 +10-55)
=456 x 0
=0
2,5 x 8,5 + 7,5 x 8,5
=8,5 x (2,5 +7,5)
= 8,5 x 10
= 85
86 x 5 + 86 x 4 + 86
= 86 x (5+4+1)
= 86 x10
860
\(\dfrac{x^2-26}{10}+\dfrac{x^2-25}{11}\ge\dfrac{x^2-24}{12}+\dfrac{x^2-23}{13}\)
\(\Leftrightarrow\left(\dfrac{x^2-26}{10}-1\right)+\left(\dfrac{x^2-25}{11}-1\right)\ge\left(\dfrac{x^2-24}{12}-1\right)+\left(\dfrac{x^2-23}{13}-1\right)\)
\(\Leftrightarrow\dfrac{x^2-36}{10}+\dfrac{x^2-36}{11}\ge\dfrac{x^2-36}{12}+\dfrac{x^2-36}{13}\)
\(\Leftrightarrow\dfrac{x^2-36}{10}+\dfrac{x^2-36}{11}-\dfrac{x^2-36}{12}-\dfrac{x^2-36}{13}\ge0\)
\(\Leftrightarrow\left(x^2-36\right)\left(\dfrac{1}{10}+\dfrac{1}{11}-\dfrac{1}{12}-\dfrac{1}{13}\right)\ge0\)
Vì \(\dfrac{1}{10}+\dfrac{1}{11}-\dfrac{1}{12}-\dfrac{1}{13}>0\Rightarrow x^2-36\ge0\Leftrightarrow\left[{}\begin{matrix}x\le-6\\x\ge6\end{matrix}\right.\)
Bất phương trình đó tương đương với:
\(\left(\dfrac{x^2-26}{10}-1\right)+\left(\dfrac{x^2-25}{11}-1\right)\ge\left(\dfrac{x^2-24}{12}-1\right)+\left(\dfrac{x^2-23}{13}-1\right)\)
⇔ \(\dfrac{x^2-36}{10}+\dfrac{x^2-36}{11}\ge\dfrac{x^2-36}{12}+\dfrac{x^2-36}{13}\)
⇔ \(\dfrac{x^2-36}{10}+\dfrac{x^2-36}{11}-\dfrac{x^2-36}{12}-\dfrac{x^2-36}{13}\ge0\)
⇔ \(\left(x^2-36\right)\left(\dfrac{1}{10}+\dfrac{1}{11}-\dfrac{1}{12}-\dfrac{1}{13}\right)\ge0\)
+)Vì \(\dfrac{1}{10}>\dfrac{1}{11}>\dfrac{1}{12}>\dfrac{1}{13}\) nên \(\dfrac{1}{10}+\dfrac{1}{11}-\dfrac{1}{12}-\dfrac{1}{13}>0\)
⇔ \(x^2-36\ge0\)
⇔ \(x^2\ge36\)
⇔ \(\sqrt{x^2}\ge6\)
⇔ \(\left|x\right|\ge6\)
⇔ \(\left[{}\begin{matrix}x\ge6\\x\le-6\end{matrix}\right.\)
➤ Vậy \(\left[{}\begin{matrix}x\ge6\\x\le-6\end{matrix}\right.\)
Tham khảo:
1) Giải phương trình : \(11\sqrt{5-x}+8\sqrt{2x-1}=24+3\sqrt{\left(5-x\right)\left(2x-1\right)}\) - Hoc24
3,6 – 0,5(2x + 1) = x – 0,25(2 – 4x)
⇔ 3,6 – x – 0,5 = x – 0,5 + x ⇔ 3,6 – 0,5 + 0,5 = x + x + x
⇔ 3,6 = 3x ⇔ 1,2
Phương trình có nghiệm x = 1,2
a) y : 10 + y x 3,9 = 4,8
y x 0,1 + y x 3,9 = 4,8
y x ( 0,1 + 3,9 ) = 4,8
y x 4 = 4,8
y = 1,2
b)y : 0,25 + y x 11 = 24
y x 4 + y x 11 = 24
y x ( 4 + 11 ) = 24
y x 15 = 24
y = 1,6
c) 75% x y + 3/4 x y + y = 30
3/4 x y + 3/4 x y + y x 1 = 30
y x ( 3/4 + 3/4 + 1 ) = 30
y x 2,5 = 30
y = 12
\(y:0,25+y.11=24\)
\(\Leftrightarrow y.4+y.11=24\)
\(\Leftrightarrow y.\left(4+11\right)=24\)
\(\Leftrightarrow y.15=24\)
\(\Leftrightarrow y=\frac{24}{15}=\frac{8}{5}\)
⇒ X x 4 + X x 11 = 24
⇒ X x ( 4+11) = 24
⇒ X x 15 = 24
⇒ X = 24 : 15 = 1,6
Bài 3:
b: \(\Leftrightarrow x^2\left(x+1\right)^2=0\)
hay \(x\in\left\{0;-1\right\}\)
c: \(\Leftrightarrow\left(x-1\right)\left(x^2+x+1\right)=0\)
=>x-1=0
hay x=1
d: \(\Leftrightarrow6x^2-3x-4x+2=0\)
\(\Leftrightarrow\left(2x-1\right)\left(3x-2\right)=0\)
hay \(x\in\left\{\dfrac{1}{2};\dfrac{2}{3}\right\}\)
X : 0,5 + X : 0,25 = 24
X x 2 + X x 4 = 24
X x ( 2 + 4 ) = 24
X x 6 = 24
X = 24 : 6
X = 4
tính nhanh
35 x 11 x 0,1 + 0,25 x 100 x 3 : 0,4 - 7,5 = 218,5
\(x:0,25+x\times11=24\)
\(x\times4+x\times11=24\)
\(x\times\left(4+11\right)=24\)
\(x\times15=24\)
\(x=24:15\)
\(x=1,6\)