15xX+98xX-11xX=1000
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\(5x-5y=5\left(x-y\right)\\ x^2-11x=x\left(x-11\right)\\ x^2-6x+9=\left(x-3\right)^2\\ x^2+2xy+y^2-64=\left(x+y\right)^2-64=\left(x+y+8\right)\left(x+y-8\right)\)
2 câu còn lại sai đề rồi
\(5x-5y=5\left(x-y\right)\)
\(x^2-11x=x\left(x-11\right)\)
\(x^2-6x+9=\left(x-3\right)^2\)
\(x^2+2xy+y^2-64=\left(x+y\right)^2-8^2=\left(x+y+8\right)\left(x+y-8\right)\)
\(697:\left[\left(15x+364\right):x\right]=17\)
\(\left(15x+364\right):x=697:17\)
\(\left(15x+364\right):x=41\)
\(15x+364=41x\)
Ta có : 15x + 26x = 41x
=> 26x = 364
x = 364 : 26
x = 14
Vậy x = 14
a) Thieu de :v
\(x^3-7x-6=0\)
\(\Leftrightarrow x^3-4x-3x-6=0\)
\(\Leftrightarrow x\left(x^2-4\right)-3\left(x+2\right)=0\)
\(\Leftrightarrow x\left(x-2\right)\left(x+2\right)-3\left(x+2\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left(x^2-2x-3\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left(x^2-3x+x-3\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left[x\left(x-3\right)+\left(x-3\right)\right]=0\)
\(\Leftrightarrow\left(x+2\right)\left(x-3\right)\left(x+1\right)=0\)
\(\Leftrightarrow\)Hoặc x + 2 = 0
Hoặc x - 3 = 0
Hoặc x + 1 = 0
\(\Leftrightarrow\)Hoặc x = -2 Hoặc x = 3 Hoặc x = -1
Vậy tập nghiệm của phương trình là ; \(S=\left\{-2;3;-1\right\}\)
\(\left(x+\frac{1}{3}\right)+\left(x+\frac{1}{15}\right)+....+\left(x+\frac{1}{575}\right)=11x+\left(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}\right)\)
\(13x+\left(\frac{1}{1.3}+\frac{1}{3.5}+.....+\frac{1}{23.25}\right)=11x+\left(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}\right)\)
\(13x+\frac{1}{2}.\left(\frac{1}{1}-\frac{1}{25}\right)=11x+\left(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}\right)\)
\(2x+\frac{12}{25}=\frac{1}{3^1}+\frac{1}{3^2}+\frac{1}{3^3}+\frac{1}{3^4}+\frac{1}{3^5}\)
Đặt \(A=\frac{1}{3^1}+\frac{1}{3^2}+\frac{1}{3^3}+\frac{1}{3^4}+\frac{1}{3^5}\)
\(3A=1+\frac{1}{3^1}+\frac{1}{3^2}+\frac{1}{3^3}+\frac{1}{3^4}\)
\(3A-A=1-\frac{1}{3^5}=\frac{242}{243}=2A\)
=> \(A=\frac{121}{243}\)
=> \(2x+\frac{12}{25}=\frac{121}{243}\)
=> \(2x=\frac{121}{243}-\frac{12}{25}=\frac{109}{6075}\)
=> x = ......
X x (15 + 98 - 11) = 1000
X x 102 = 1000
X = 102000
\(15×x+98×x-11×x=1000\)
\(\left(15+98-11\right)×x=1000\)
\(102×x=1000\)
\(x=1000×102\)
\(x=102000\)