3x-2+25=26x22+2x30
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\(20\times5^2-3^2\times30+170\)
\(=10\times2\times25-9\times10\times3+17\times10\)
\(=10\times50-27\times10+17\times10\)
\(=10\times\left(50-27+17\right)\)
\(=10\times40\)
\(=400\)
400 là đáp án đúng . mò từ 8 giờ mới ra cho bạn đấy
1, 2x30+30+5x30+60=30x(2+1+5)+60=30x8+60=240+60=300
2,3059-213+214-87=(3059-87)+(214-213)=2972+1=2973
nha
1. 2 × 30 + 30 + 5 × 30 + 60
= 2 × 30 + 30 × 1 + 5 × 30 + 30 × 2
= 30 × ( 2 + 1 + 5 + 2 )
= 30 × 10
= 300
2. 3059 - 213 + 214 - 87
= ( 3059 - 87 ) + ( 214 - 213 )
= 2972 + 1
= 2973
Cbht
\(2M=\left(\sqrt{x^2-3x+25}-\sqrt{x^2-3x+9}\right)\)\(\left(\sqrt{x^2-3x+25}+\sqrt{x^2-3x+9}\right)\)
\(2M=x^2-3x+25-x^2+3x-9=16\)
M = 8
a: \(2x^3-50x=0\)
=>\(2x\left(x^2-25\right)=0\)
=>x(x-5)(x+5)=0
=>x∈{0;5;-5}
b: \(2x\left(3x-5\right)-\left(5-3x\right)=0\)
=>2x(3x-5)+(3x-5)=0
=>(3x-5)(2x+1)=0
=>\(\left[\begin{array}{l}3x-5=0\\ 2x+1=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac53\\ x=-\frac12\end{array}\right.\)
c: \(9\left(3x-2\right)=x\left(2-3x\right)\)
=>9(3x-2)-x(2-3x)=0
=>9(3x-2)+x(3x-2)=0
=>(3x-2)(x+9)=0
=>\(\left[\begin{array}{l}3x-2=0\\ x+9=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac23\\ x=-9\end{array}\right.\)
d: \(\left(2x-1\right)^2-25=0\)
=>(2x-1-5)(2x-1+5)=0
=>(2x-6)(2x+4)=0
=>(x-3)(x+2)=0
=>\(\left[\begin{array}{l}x-3=0\\ x+2=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=3\\ x=-2\end{array}\right.\)
e: \(25x^2-2=0\)
=>\(25x^2=2\)
=>\(x^2=\frac{2}{25}\)
=>\(\left[\begin{array}{l}x=\frac{\sqrt2}{5}\\ x=-\frac{\sqrt2}{5}\end{array}\right.\)
f: \(x^2-25=6x-9\)
=>\(x^2-6x-16=0\)
=>(x-8)(x+2)=0
=>\(\left[\begin{array}{l}x-8=0\\ x+2=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=8\\ x=-2\end{array}\right.\)
g: 5x(x-3)-2x+6=0
=>5x(x-3)-2(x-3)=0
=>(x-3)(5x-2)=0
=>\(\left[\begin{array}{l}x-3=0\\ 5x-2=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=3\\ x=\frac25\end{array}\right.\)
h: 3x(x-7)-2(x-7)=0
=>(x-7)(3x-2)=0
=>\(\left[\begin{array}{l}x-7=0\\ 3x-2=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=7\\ x=\frac23\end{array}\right.\)
i: \(7x^2-28=0\)
=>\(7x^2=28\)
=>\(x^2=4\)
=>x=2 hoặc x=-2
j: 2x+1+x(2x+1)=0
=>(2x+1)(x+1)=0
=>\(\left[\begin{array}{l}2x+1=0\\ x+1=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=-\frac12\\ x=-1\end{array}\right.\)
k: \(\left(x+2\right)^2-\left(x-2\right)\left(x+2\right)=0\)
=>(x+2)(x+2-x+2)=0
=>4(x+2)=0
=>x+2=0
=>x=-2
l: \(x^3+5x^2-4x-20=0\)
=>\(x^2\left(x+5\right)-4\left(x+5\right)=0\)
=>\(\left(x+5\right)\left(x^2-4\right)=0\)
=>(x+5)(x-2)(x+2)=0
=>x∈{-5;2;-2}
m: \(x^2-25+2\left(x+5\right)=0\)
=>(x-5)(x+5)+2(x+5)=0
=>(x+5)(x-3)=0
=>\(\left[\begin{array}{l}x+5=0\\ x-3=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=-5\\ x=3\end{array}\right.\)
n: \(x^2-3x+2=0\)
=>\(x^2-x-2x+2=0\)
=>x(x-1)-2(x-1)=0
=>(x-1)(x-2)=0
=>\(\left[\begin{array}{l}x-1=0\\ x-2=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=1\\ x=2\end{array}\right.\)
o: \(x^2-6x+8=0\)
=>\(\left(x-2\right)\left(x-4\right)=0\)
=>\(\left[\begin{array}{l}x-2=0\\ x-4=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=2\\ x=4\end{array}\right.\)
p: \(x^2-5x-14=0\)
=>\(x^2-7x+2x-14=0\)
=>(x-7)(x+2)=0
=>\(\left[\begin{array}{l}x-7=0\\ x+2=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=7\\ x=-2\end{array}\right.\)
q: \(\left(x-2\right)^2-\left(x-3\right)\left(x+3\right)=6\)
=>\(x^2-4x+4-x^2+9=6\)
=>-4x+13=6
=>-4x=6-13=-7
=>x=7/4
r: \(\left(2x-1\right)^2-\left(2x-5\right)\left(2x+5\right)=18\)
=>\(4x^2-4x+1-\left(4x^2-25\right)=18\)
=>-4x+26=18
=>-4x=-8
=>x=2
\(\left(3x-1\right)^3=25\left(3x-1\right)\\ \Leftrightarrow\left(3x-1\right)^2=25\\ \Leftrightarrow\left[{}\begin{matrix}3x-1=5\\3x-1=-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-\dfrac{4}{3}\end{matrix}\right.\\ \left(3x-14\right)^3=2^5\cdot5^2+200\\ \Leftrightarrow\left(3x-14\right)^3=1000=10^3\\ \Leftrightarrow3x-14=10\Leftrightarrow x=8\)
\(\left(3x-1\right)^3=25\left(3x-1\right)\)
\(\Rightarrow\left(3x-1\right)\left(9x^2-6x+1-25\right)=0\)
\(\Rightarrow\left(3x-1\right)\left(9x^2-6x-24\right)=0\)
\(\Rightarrow3\left(3x-1\right)\left(x-2\right)\left(3x+4\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{3}\\x=2\\x=-\dfrac{4}{3}\end{matrix}\right.\)
\(\left(3x-14\right)^3=2^5.5^2+200\)
\(\Rightarrow\left(3x-14\right)^3=1000\)
\(\Rightarrow3x-14=10\Rightarrow3x=24\Rightarrow x=8\)