tìm x
a.3:x-10=-12
b.x:(-5)+10=-60
c.(2-x):(-4)-5=-11
d.(3-2x)^2=16
giúp mình gấp nhé
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Áp dụng t/c dãy tỉ số bằng nhau:
a.
\(\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{2x}{6}=\dfrac{4y}{20}=\dfrac{2x+4y}{6+20}=\dfrac{28}{26}=\dfrac{14}{13}\)
\(\Rightarrow\left\{{}\begin{matrix}x=3.\dfrac{14}{13}=\dfrac{52}{13}\\y=5.\dfrac{14}{13}=\dfrac{70}{13}\end{matrix}\right.\)
(Em có nhầm đề 26 thành 28 ko nhỉ, số xấu quá)
b.
\(4x=5y\Rightarrow\dfrac{x}{5}=\dfrac{y}{4}=\dfrac{3x}{15}=\dfrac{-2y}{-8}=\dfrac{3x-2y}{15-8}=\dfrac{35}{7}=5\)
\(\Rightarrow\left\{{}\begin{matrix}x=5.5=25\\y=4.2=20\end{matrix}\right.\)
c.
\(\dfrac{x}{-3}=\dfrac{y}{-7}=\dfrac{2x}{-6}=\dfrac{4y}{-28}=\dfrac{2x+4y}{-6-28}=\dfrac{68}{-34}=-2\)
\(\Rightarrow\left\{{}\begin{matrix}x=-3.\left(-2\right)=6\\y=-7.\left(-2\right)=14\end{matrix}\right.\)
d.
\(\dfrac{x}{2}=\dfrac{y}{-3}=\dfrac{z}{4}=\dfrac{4x}{8}=\dfrac{-3y}{9}=\dfrac{-2z}{-8}=\dfrac{4x-3y-2z}{8+9-8}=\dfrac{16}{9}\)
\(\Rightarrow\left\{{}\begin{matrix}x=2.\dfrac{16}{9}=\dfrac{32}{9}\\y=-3.\dfrac{16}{9}=-\dfrac{48}{9}\\z=4.\dfrac{16}{9}=\dfrac{64}{9}\end{matrix}\right.\)
a) (2x - 3)(x + 1) - (5 + x)(2x - 4) = 10
<=> 2x2 + 2x - 3x - 3 - (10x - 20 + 2x2 - 4x) = 10
<=> 2x2 - x - 3 - (2x2 + 6x - 20) = 10
<=> 2x2 - x - 3 - 2x2 - 6x + 20 = 10
<=> -7x = -7
<=> x = 1
Vậy x = 1 là nghiệm phương trình
b) (x - 3)(x + 3) - (x + 1)2 = 5
<=> x2 - 9 - (x2 + 2x + 1) = 5
<=> x2 - 9 - x2 - 2x - 1 = 5
<=> -2x = 15
<=> x = -7,5
Vậy x = - 7,5 là nghiệm phương trình
a) \(2\left|x\right|-5=3\)
=> \(2\left|x\right|=3+5\)
=> \(2\left|x\right|=8\)
=> \(\left|x\right|=4\)
=> x = 4 hoặc x = -4
b) \(x-5=\left(-14\right)+2^3\)
=> \(x-5=\left(-14\right)+8\)
=> \(x-5=-6\)
=> \(x=-6+5=-1\)
c) \(10+2x=4^5:4^3\)
=> \(10+2x=4^{5-3}\)
=> \(10+2x=4^2\)
=> \(2x=4^2-10=16-10=6\)
=> \(2x=6\)
=> \(x=3\)
d) (x + 7) - 13 = 4
=> x + 7 = 17
=> x = 17 - 7 = 10
e) \(2x-10=2^4:2^2\)
=> \(2x-10=2^2\)
=> \(2x-10=4\)
=> \(2x=14\)
=> \(x=7\)
a: =>x^2-25-x^2-3x=10
=>-3x=35
=>x=-35/3
b: =>4x^2-9-4(x^2+4x+4)=5
=>4x^2-9-4x^2-16x-16-5=0
=>-16x-30=0
=>x=-15/8
c: =>9x^2+45x-9x^2+4=7
=>45x=3
=>x=1/15
d: =>x^3+3x^2+3x+1-x^3-3x^2+5x=8
=>8x=7
=>x=7/8
`#3107`
b)
`2.3^x = 162`
`\Rightarrow 3^x = 162 \div 2`
`\Rightarrow 3^x = 81`
`\Rightarrow 3^x = 3^4`
`\Rightarrow x = 4`
Vậy, `x = 4`
c)
`(2x - 15)^5 = (2 - 15)^3`
\(\Rightarrow \)`(2x - 15)^5 - (2x - 15)^3 = 0`
\(\Rightarrow \)`(2x - 15)^3 . [ (2x - 15)^2 - 1] = 0`
\(\Rightarrow\left[{}\begin{matrix}\left(2x-15\right)^3=0\\\left(2x-15\right)^2-1=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}2x-15=0\\\left(2x-15\right)^2=1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}2x=15\\\left(2x-15\right)^2=\left(\pm1\right)^2\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\2x-15=1\\2x-15=-1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\2x=16\\2x=-14\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\x=8\\x=-7\end{matrix}\right.\)
Vậy, `x \in`\(\left\{-7;8;\dfrac{15}{2}\right\}.\)
`d)`
\(3^{x+2}-5.3^x=?\) Bạn ghi tiếp đề nhé!
`e)`
\(7\cdot4^{x-1}+4^{x-1}=23?\)
\(4^{x-1}\cdot\left(7+1\right)=23\\ \Rightarrow4^{x-1}\cdot8=23\\ \Rightarrow4^{x-1}=\dfrac{23}{8}\)
Bạn xem lại đề!
`f)`
\(2\cdot2^{2x}+4^3\cdot4^x=1056\)
\(\Rightarrow2\cdot2^{2x}+\left(2^2\right)^3\cdot\left(2^2\right)^x=1056\\ \Rightarrow2\cdot2^{2x}+2^6\cdot2^{2x}=1056\\ \Rightarrow2^{2x}\cdot\left(2+2^6\right)=1056\\ \Rightarrow2^{2x}\cdot66=1056\\ \Rightarrow2^{2x}=1056\div66\\ \Rightarrow2^{2x}=16\\ \Rightarrow2^{2x}=2^4\\ \Rightarrow2x=4\\ \Rightarrow x=2\)
Vậy, `x = 2`
_____
\(10 -{[(x \div 3+17) \div 10+3.2^4] \div 10}=5\)
\(\Rightarrow\left[\left(x\div3+17\right)\div10+48\right]\div10=10-5\)
\(\Rightarrow\left[\left(x\div3+17\right)\div10+48\right]\div10=5\)
\(\Rightarrow\left(x\div3+17\right)\div10+48=50\)
\(\Rightarrow\left(x\div3+17\right)\div10=2\)
\(\Rightarrow x\div3+17=20\)
\(\Rightarrow x\div3=3\\ \Rightarrow x=9\)
Vậy, `x = 9.`
\(b)\)\(x\div\left(-5\right)+10=-60\)
\(x\div\left(-5\right)=-60-10\)
\(x\div\left(-5\right)=-70\)
\(x=-70\times\left(-5\right)\)
\(x=350\)
\(a)\)\(3\div x-10=-12\)
\(3\div x=-12+10\)
\(3\div x=-2\)
\(x=3\div-2\)
\(x=-\frac{3}{2}=-1,5\)
tìm x
a.3:x-10=-12
3:x = -12+10
3:x = -2
x = 3:(-2)
x = -3/2
b.x:(-5)+10=-60
x:(-5) =-60-10
x:(-5) = -70
x = -70 x (-5)
x = 350
\(\text{a)}3:x-10=-12\)
\(3:x\) \(=\left(-12\right)+10=-2\)
\(x\) \(=3:\left(-2\right)=-1,5\)
\(\text{b)}\left(2-x\right):\left(-4\right)-5=11\)
\(\left(2-x\right):\left(-4\right)\) \(=11+5=16\)
\(\left(2-x\right)\) \(=16x\left(-4\right)=-64\)
\(x\) \(=2-\left(-64\right)=66\)
\(\text{c)}x:\left(-5\right)+10=-60\)
\(x:\left(-5\right)\) \(=\left(-60\right)-10=-70\)
\(x\) \(=\left(-70\right)x\left(-5\right)=350\)
\(\left(3-2x\right)^2=16\)
\(\left(3-2x\right)^2=\pm\left(4\right)^2\)
\(\text{Vậy 3-2x=4 hoặc }\) \(3-2x=-4\)
\(2x=3-4=-1\) \(2x=3-\left(-4\right)=7\)
\(x=\left(-1\right):2=-0,5\) \(x=7:2=3,5\)
\(\text{Câu b với c mik lỡ làm ngược lại rồi bạn thông cảm}\)
\(\text{Hok tốt!}\)
\(\text{@Kaito Kid}\)