\(\frac{25}{49}\)x \(\frac{21}{29}\)- \(\frac{25}{49}\)x \(\frac{7}{29}\)+ \(\frac{24}{49}\)
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\(\frac{25}{49}\)x \(\frac{21}{29}\)-\(\frac{25}{49}\)x\(\frac{7}{29}\)+ \(\frac{24}{49}\)x\(\frac{15}{29}\)
= 25/49 *( 21/29-7/29) +24/49 * 15/29
=25/49*14/29+ 24/49*15/29
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\(\frac{25}{49}.\frac{21}{29}-\frac{25}{49}.\frac{7}{29}+\frac{24}{49}.\frac{15}{29}\)
\(=\frac{25}{49}.\left(\frac{21}{29}-\frac{7}{29}\right)+\frac{24}{49}.\frac{15}{29}\)
\(=\frac{25}{49}.\frac{14}{29}+\frac{24}{49}.\frac{15}{29}\)
\(=\left(\frac{25}{49}+\frac{24}{49}\right).\left(\frac{14}{29}+\frac{15}{29}\right)\)
\(=1.1=1\)
giả phương trình:
\(\frac{x-91}{37}+\frac{x-86}{42}+\frac{x-78}{50}+\frac{x-49}{79}=4\)
\(\frac{x-29}{1970}+\frac{x-27}{1972}+\frac{x-25}{1974}+\frac{x-23}{1976}+\frac{x-1970}{29}+\frac{x-1972}{27}+\frac{x-1974}{25}+\frac{x-1976}{23}-8=0\)
a) Ta có: \(\frac{x-91}{37}+\frac{x-86}{42}+\frac{x-78}{50}+\frac{x-49}{79}=4\)
\(\Leftrightarrow\frac{x-91}{37}-1+\frac{x-86}{42}-1+\frac{x-78}{50}-1+\frac{x-49}{79}-1=0\)
\(\Leftrightarrow\frac{x-91-37}{37}+\frac{x-86-42}{42}+\frac{x-78-50}{50}+\frac{x-49-79}{79}=0\)
\(\Leftrightarrow\frac{x-128}{37}+\frac{x-128}{42}+\frac{x-128}{50}+\frac{x-128}{79}=0\)
\(\Leftrightarrow\left(x-128\right)\left(\frac{1}{37}+\frac{1}{42}+\frac{1}{50}+\frac{1}{79}\right)=0\)
Vì \(\frac{1}{37}+\frac{1}{42}+\frac{1}{50}+\frac{1}{79}>0\)
nên x-128=0
hay x=128
Vậy: x=128
b) Ta có: \(\frac{x-29}{1970}+\frac{x-27}{1972}+\frac{x-25}{1974}+\frac{x-23}{1976}+\frac{x-1970}{29}+\frac{x-1972}{27}+\frac{x-1974}{25}+\frac{x-1976}{23}-8=0\)
\(\Leftrightarrow\frac{x-29}{1970}-1+\frac{x-27}{1972}-1+\frac{x-25}{1974}-1+\frac{x-23}{1976}-1+\frac{x-1970}{29}-1+\frac{x-1972}{27}-1+\frac{x-1974}{25}-1+\frac{x-1976}{23}-1=0\)
\(\Leftrightarrow\frac{x-29-1970}{1970}+\frac{x-27-1972}{1972}+\frac{x-25-1974}{1974}+\frac{x-23-1976}{1976}+\frac{x-1970-29}{29}+\frac{x-1972-27}{27}+\frac{x-1974-25}{25}+\frac{x-1976-23}{23}=0\)
\(\Leftrightarrow\left(x-1999\right)\left(\frac{1}{1970}+\frac{1}{1972}+\frac{1}{1974}+\frac{1}{1976}+\frac{1}{29}+\frac{1}{27}+\frac{1}{25}+\frac{1}{23}\right)=0\)
Vì \(\frac{1}{1970}+\frac{1}{1972}+\frac{1}{1974}+\frac{1}{1976}+\frac{1}{29}+\frac{1}{27}+\frac{1}{25}+\frac{1}{23}>0\)
nên x-1999=0
hay x=1999
Vậy: x=1999
a) Ta có \(\frac{x-91}{37}+\frac{x-86}{42}+\frac{x-78}{50}+\frac{x-49}{79}\)=4
<=>\(\frac{x-91}{37}+\frac{x-86}{42}+\frac{x-78}{50}+\frac{x-49}{79}-4=0\)
<=>\(\frac{x-91}{37}-1+\frac{x-86}{42}-1+\frac{x-78}{50}-1+\frac{x-49}{79}-1=0\)
<=>\(\frac{x-128}{37}+\frac{x-128}{42}+\frac{x-128}{50}+\frac{x-128}{79}=0\)
<=>(x-128)\(\left(\frac{1}{37}+\frac{1}{42}+\frac{1}{50}+\frac{1}{79}\right)=0\)
Vì \(\frac{1}{37}+\frac{1}{42}+\frac{1}{50}+\frac{1}{79}>0\)=>x-128=0<=>x=128
b)Tương tự
<=>x-128=0
<=>x=128
Chú ý \(\frac{1}{37}+\frac{1}{42}+\frac{1}{50}+\frac{1}{79}\)>0
b)tương tự
cho \(\frac{x+16}{9}=\frac{y-25}{-16}=\frac{z+49}{25}\)
va 4x3-3=29 .tinh x-2y+3z
\(\frac{x+16}{9}=\frac{y-25}{-16}=\frac{z+49}{25}\) và \(4x^3-3=29\) Tính x+2y+3z
Ta có:
\(4x^3-3=29\)
\(\Rightarrow4x^3=32\)
\(\Rightarrow x^3=8\)
=> x=2
Thay x=2 vào \(\frac{x+16}{9}=\frac{y-25}{-16}\) ta đuợc:
\(\frac{18}{9}=\frac{y-25}{-16}\)
=> \(2=\frac{y-25}{-16}\)
=> y-25=-32
=> y=-7
Thay y=-7 vào \(\frac{y-25}{-16}=\frac{z+49}{25}\) ta đuợc:
\(2=\frac{z+49}{25}\)
=> z+49=50
=> z=1
=> x+2y+3z=2+2.(-7)+3.1=2+(-14)+3=-12+3=-9
:) chắc còn cách khác hay hơn để mk suy nghĩ
Bùng nổ Saiya
Có :
\(4x^3-3=29\)
\(\Rightarrow4x^3=32\)
\(\Rightarrow x^3=8\)
\(\Rightarrow x=2\)
\(\Rightarrow\frac{x+16}{9}=\frac{2+16}{9}=\frac{18}{9}=2\)
\(\Rightarrow\frac{y-25}{-16}=2\)
Và \(\frac{z+49}{25}=2\)
\(\Rightarrow y-25=\left(-16\right)\cdot2=-32\)
Và \(z+49=25\cdot2=50\)
\(\Rightarrow y=-7;z=1\)
\(\Rightarrow2y=-14;z=3\)
\(\Rightarrow x+2y+3z=2+\left(-14\right)+3=-9\)
Vậy \(x+2y+3z=-9\)
Cho \(\frac{x+16}{9}=\frac{y-25}{-16}=\frac{z+49}{25}\) và \(4x^3-3=29.\)Tính x + 2y + 3z.
Có: \(4x^3_{ }-3=29\)
=>\(4x^3=32\)
=>\(x^3=8\)
=>\(x^3=2^3\)
=>x=2
=>\(\frac{x+16}{9}=\frac{2+16}{9}=\frac{18}{9}=2\)
=>\(\frac{y-25}{-16}=2\)
và \(\frac{z+49}{25}=2\)
=>\(y_{ }-25=\left(-16\right).2=-32\)
và \(z+49=25.2=50\)
=>y=-7; z=1
=>2y=-14 ; z=3
=>x+2y+3z=2+(-14)+3=-9
Vậy x+2y+3z=-9
Cho \(\frac{x+16}{9}=\frac{y-25}{-16}=\frac{z+49}{25}\) và 4x3-3=29. Tính x-2y+3z
Ta có: 4x3-3 =29
4x3=32
x3=8
x=2
Thay x=2 vào biểu thức \(\frac{x+16}{9}\) ta được: \(\frac{2+16}{9}=\frac{18}{9}=2\)
\(\Rightarrow\frac{y-25}{-16}=2\Rightarrow y=2\cdot\left(-16\right)+25=-7\)
\(\Rightarrow\frac{z+49}{25}=2\Rightarrow z=2\cdot25-49=1\)
Vậy \(x-2y+3z=2-2\left(-7\right)+3\cdot1=2+14+3=19\)
k' nhé
Cho \(\frac{x+16}{9}=\frac{y-25}{-16}=\frac{z+49}{25}\) và \(4x^3-3=29\). Tính \(x-2y+3z\).
\(4x^3-3=29\Rightarrow4x^3=32\Rightarrow x^3=8\Rightarrow x=2\)
Thay vào: \(\frac{x+16}{9}=\frac{y-25}{-16}=\frac{z+49}{25}\)
\(\Rightarrow\frac{2+16}{9}=\frac{y-25}{-16}=\frac{z+49}{25}\Rightarrow\frac{y-25}{-16}=\frac{z+49}{25}=2\)
\(\Rightarrow\left\{{}\begin{matrix}y=2.\left(-16\right)+25=-7\\z=2.25-49=1\end{matrix}\right.\)
\(\Rightarrow x-2y+3z=2-2.\left(-7\right)+3.1=2+14+3=19\)
\(4x^3-3=29\)
\(\Rightarrow4x^3=32\Rightarrow x^3=8\Rightarrow x=2\)
\(\Rightarrow\frac{x+16}{9}=\frac{2+16}{9}=2\)
Ta có
\(\frac{x+16}{9}=\frac{y-25}{-16}\Rightarrow\frac{y-25}{-16}=2\)
\(\Rightarrow y-25=-32\Rightarrow y=-7\);
\(\frac{x+16}{9}=\frac{z+49}{25}\Rightarrow\frac{z+49}{25}=2\Rightarrow z+49=50\Rightarrow z=1\)
Vậy x = 2 ; y = -7 ; z = 1
\(\dfrac{x+16}{9}=\dfrac{y-25}{-16}=\dfrac{z+49}{25}\) (1)
Ta có: \(4x^3-3=29\)
\(\Rightarrow4x^3=32\Rightarrow x^3=8\)
\(\Rightarrow x=2\)
Thay \(x=2\) vào điều (1) ta có:
\(\dfrac{2+16}{9}=\dfrac{y-25}{-16}=\dfrac{z+49}{25}\)
\(\Rightarrow\dfrac{y-25}{-16}=\dfrac{z+49}{25}=\dfrac{18}{9}\)
\(\Rightarrow\dfrac{y-25}{-16}=\dfrac{z+49}{25}=2\)
\(\Rightarrow\left\{{}\begin{matrix}y-25=2.\left(-16\right)\\z+49=2.25\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}y-25=-32\\z+49=50\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}y=-7\\z=1\end{matrix}\right.\)
Vậy giá trị của biểu thức \(x-2y+3z\) là:
\(2-2.\left(-7\right)+3.1=2+14+3=19\)
Tìm x
\(\frac{4-x}{6-x}=\frac{x-3}{x-8}\)
Rút gọn
\(\frac{49^{24}.125^{10}.2^8-5^{30}.7^{49}.4^5}{5^{29}.16^2.7^{48}}\)
Tìm x:
\(\dfrac{4-x}{6-x}\)=\(\dfrac{x-3}{x-8}\)\(\Rightarrow\)(4-x)(x-8)=(6-x)(x-3)
\(\Rightarrow\)12x-x2-32=9x-x2-18
\(\Rightarrow\)3x=14\(\Rightarrow\)x=\(\dfrac{14}{3}\).
\(\dfrac{49^{24}.125^{10}.2^8-5^{30}.7^{49}.4^5}{5^{29}.16^2.7^{48}}\)
=\(\dfrac{7^{48}.5^{30}.2^8-5^{30}.7^{49}.2^{10}}{5^{29}.2^8.7^{48}}\)
=\(\dfrac{7^{48}.5^{30}.2^8.\left(1-7.2^2\right)}{5^{29}.2^8.7^{48}}\)
=5.(1-7.22) = 5.(1-28) = 5.(-27) = -135
Cho \(\frac{x+16}{9}\)=\(\frac{y-25}{-16}\)=\(\frac{z+49}{25}\)và \(4x^4\)-3= 29
Tính x +2y+3z
VẬy chắc mình ghi đề sai . Bạn tính giúp mình \(4x^3\)vì mình nhìn nó bị mờ do chụp