Tìm nghiệm của phương trình:
\(\frac{148-x}{13}+\frac{169-x}{17}+\frac{186-x}{17}+\frac{199-x}{16}=10\)
Tìm nghiệm của phương trình sau:
\(\frac{148-x}{13}+\frac{169-x}{17}+\frac{186-x}{17}+\frac{199-x}{16}=10\)
\(\frac{148-x}{13}-1+\frac{169-x}{17}-2+\frac{186-x}{17}-3+\frac{199-x}{16}-4=0\)\(\frac{135-x}{13}+\frac{135-x}{17}+\frac{135-x}{17}+\frac{135-x}{16}=0\)
(135-x)(\(\frac{1}{13}+\frac{1}{17}+\frac{1}{17}+\frac{1}{16}\))=0
135-x=0
x=135
Có : \(\frac{148-x}{13}+\frac{169-x}{17}+\frac{186-x}{17}+\frac{199-x}{16}=10\)
\(\Leftrightarrow\)\(\left(\frac{148-x}{13}-1\right)+\)\(\left(\frac{169-x}{17}-2\right)+\)\(\left(\frac{186-x}{17}-3\right)\) + \(\left(\frac{199-x}{16}-4\right)=10\)
\(\Leftrightarrow\) \(\frac{135-x}{13}+\frac{135-x}{17}+\frac{135-x}{17}+\frac{135-x}{16}\)= 10
\(\Leftrightarrow\) \(\left(135-x\right)\left(\frac{1}{13}+\frac{1}{17}+\frac{1}{17}+\frac{1}{16}\right)=0\)
\(\Leftrightarrow\) \(135-x=0\) \(\left(\frac{1}{13}+\frac{1}{17}+\frac{1}{17}+\frac{1}{16}\right)\ne0\)
\(\Leftrightarrow\) \(x=135\)
Vậy \(x=135\)
Nghiệm của phương trình 148-x/13+169-x/17+186-x/17+199-x/16=10. vậy x=
cộng thêm 1 vào mỗi vế là ra ấy mà. bạn động não chút đi
\(\frac{148-x}{25}+\frac{169-x}{23}+\frac{186-x}{21}+\frac{199-x}{19}=0\) giải phương trình
Bạn xem lại có sai đề ko,mk thấy sao sao ý
Sửa đề:
\(\frac{148-x}{25}+\frac{169-x}{23}+\frac{186-x}{21}+\frac{199-x}{19}=10\\\Leftrightarrow \frac{148-x}{25}-1+\frac{169-x}{23}-2+\frac{186-x}{21}-3+\frac{199-x}{19}-4=0\\ \Leftrightarrow\frac{123-x}{25}+\frac{123-x}{23}+\frac{123-x}{21}+\frac{123-x}{19}=0\\ \Leftrightarrow\left(123-x\right)\left(\frac{1}{25}+\frac{1}{23}+\frac{1}{21}+\frac{1}{19}\right)=0\\ \Leftrightarrow123-x=0\left(Vi\frac{1}{25}+\frac{1}{23}+\frac{1}{21}+\frac{1}{19}\ne0\right)\\ \Leftrightarrow x=123\)
Vậy tập nghiệm của phương trình trên là \(S=\left\{123\right\}\)
=10 chứ ko phải bằng 0 nha bạn
\(\frac{148-x}{25}+\frac{169-x}{23}+\frac{186-x}{21}+\frac{199-x}{19}=10\)
Mk chi p bang 123 vi bam may tinh, con ck jai thi hk p!
GIÚP MK VS Ạ!!!
\(\frac{148-x}{25}+\frac{169-x}{23}+\frac{186-x}{21}-\frac{199-x}{19}=10\)
Câu cuối r , giúp mk vs nha
\(\frac{148-x}{25}+\frac{169-x}{23}+\frac{186-x}{21}-\frac{199-x}{19}=10\)
giải pt:
\(\frac{148-x}{25}\)+\(\frac{169-x}{23}\)+\(\frac{186-x}{21}\)+\(\frac{199-x}{19}\)=10
\(\Leftrightarrow\frac{148-x}{25}-1+\frac{169-x}{23}-2+\frac{186-x}{21}-3+\frac{199-x}{19}-4=0\)
\(\Leftrightarrow\frac{123-x}{25}+\frac{123-x}{23}+\frac{123-x}{21}+\frac{123-x}{19}=0\)
\(\Leftrightarrow\left(123-x\right)\left(\frac{1}{25}+\frac{1}{23}+\frac{1}{21}+\frac{1}{19}\right)=0\)
Mà \(\frac{1}{25}+\frac{1}{23}+\frac{1}{21}+\frac{1}{19}\ne0\)
\(\Rightarrow123-x=0\Rightarrow x=123\)
Vậy Tập nghiệm của phương trình là \(S=\left\{123\right\}\)
<=> 148-×/25 -1 + 169-x/23 -2 + 186-x/21 - 3 + 199-×/19 - 4=0
<=> (123-x)(1/25+1/23+1/21+1/19)=0
<=> x=123
Chúc bạn học tốt
Giải Phương Trình:
\(\frac{148-x}{25}+\frac{169-x}{23}+\frac{186-x}{21}+\frac{199-x}{19}=10\)
Mấy bạn giúp mink vs nha ai giải đúng và rõ ràng mink sẽ tick hứa đấy^^
\(\frac{148-x}{25}+\frac{169-x}{23}+\frac{186-x}{21}+\frac{199-x}{19}=10\)
\(\Leftrightarrow\frac{148-x}{25}-1+\frac{169-x}{23}-2+\frac{186-x}{21}-3+\frac{199-x}{19}-4=0\)
\(\Leftrightarrow\frac{148-x}{25}-\frac{25}{25}+\frac{169-x}{23}-\frac{46}{23}+\frac{186-x}{21}-\frac{63}{21}+\frac{199-x}{19}-\frac{76}{19}=0\)
\(\Leftrightarrow\frac{123-x}{25}+\frac{123-x}{23}+\frac{123-x}{21}+\frac{123-x}{19}=0\)
\(\Leftrightarrow\left(123-x\right).\left(\frac{1}{25}+\frac{1}{23}+\frac{1}{21}+\frac{1}{19}\right)=0\)
\(\Leftrightarrow123-x=0\left(\text{vì }\frac{1}{25}+\frac{1}{23}+\frac{1}{21}+\frac{1}{19}\ne0\right)\)
<=>x=123
Vậy S={123}
Giải phương trình :a; \(\frac{148-x}{25}+\frac{169-x}{23}+\frac{186-x}{21}+\frac{199-x}{19}=10\)
b, \(x^4+x^3-4x^2+5x-3=0\)
c,\(x^4-10.2^x+16=0\)
a) \(\frac{148-x}{25}+\frac{169-x}{23}+\frac{186-x}{21}+\frac{199-x}{19}=10\)
\(\Leftrightarrow\left(\frac{148-x}{25}-1\right)+\left(\frac{169-x}{23}-2\right)+\left(\frac{186-x}{21}-3\right)+\left(\frac{199-x}{19}-4\right)=0\)
\(\Leftrightarrow\frac{123-x}{25}+\frac{123-x}{23}+\frac{123-x}{21}+\frac{123-x}{19}=0\)
\(\Leftrightarrow\left(123-x\right)\left(\frac{1}{25}+\frac{1}{23}+\frac{1}{21}+\frac{1}{19}\right)=0\)
\(\Leftrightarrow x=123\)
c) \(x^4-10.2^x+16=0\)
\(\Leftrightarrow\left(2^x\right)^2-10.2^x+16=0\)
Ta có:
\(2^x=t\)
\(\Rightarrow t^2-10t+16=0\)
\(\Leftrightarrow\orbr{\begin{cases}t=8\\t=2\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=1\end{cases}}\)