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\(12x^5y^7:3xy^7=4x^4\)
\(\left(2x^3-x^2+5x\right):x=2x^2-x+5\)
-Áp dụng BĐT AM-GM cho 2 số dương ta có:
\(xy+1\ge2\sqrt{xy.1}=2\sqrt{xy}\)
\(\Rightarrow y\ge xy+1\ge2\sqrt{xy}\)
\(\Rightarrow\sqrt{y}\ge2\sqrt{x}\)
\(\Rightarrow\sqrt{\dfrac{y}{x}}\ge2\)
\(\Rightarrow\dfrac{y}{x}\ge4\)
\(\Rightarrow\dfrac{x}{y}\le\dfrac{1}{4}\left(đpcm\right)\)
-Dấu "=" xảy ra khi \(x=\dfrac{1}{2};y=2\)
\(\left(3x-2\right)\left(5x+4\right)-\left(2x+7\right)\left(4x-1\right)+1\)
\(=15x^2+2x-8-8x^2-26x+7+1=7x^2-24x\)
\(25a^2-25x^2+10x-1\)
\(=25a^2-\left(5x-1\right)^2\)
\(=\left(5a-5x+1\right)\left(5a+5x-1\right)\)
Simplifying 5(2x + 1) = 3(x + -2) Reorder the terms: 5(1 + 2x) = 3(x + -2) (1 * 5 + 2x * 5) = 3(x + -2) (5 + 10x) = 3(x + -2) Reorder the terms: 5 + 10x = 3(-2 + x) 5 + 10x = (-2 * 3 + x * 3) 5 + 10x = (-6 + 3x) Solving 5 + 10x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 10x + -3x = -6 + 3x + -3x Combine terms: 10x + -3x = 7x 5 + 7x = -6 + 3x + -3x Combine terms: 3x + -3x = 0 5 + 7x = -6 + 0 5 + 7x = -6 Add '-5' to each side of the equation. 5 + -5 + 7x = -6 + -5 Combine terms: 5 + -5 = 0 0 + 7x = -6 + -5 7x = -6 + -5 Combine terms: -6 + -5 = -11 7x = -11 Divide each side by '7'. x = -1.571428571 Simplifying x = -1.571428571
<=> x3 - 4x2 - x + 4 = 0
<=> (x2 - 1)(x - 4) = 0
<=> (x - 1)(x + 1)(x - 4) = 0
<=> x = 1 hoặc x = -1 hoặc x = 4
\(x^3-4x^2+4-x=0\)
\(\left(x-1\right)\left(x-4\right)\left(x+1\right)=0\)
\(x=\pm1;x=4\)
sắp tới lập nhóm nha :v ( quảng cáo lun )
1: Ta có: \(3\left(x+5\right)-2\left(4-3x\right)=7\)
\(\Leftrightarrow3x+15-8+6x=7\)
\(\Leftrightarrow9x=14\)
hay \(x=\dfrac{14}{9}\)
2: Ta có: \(x\left(7-2x\right)+2x\left(x-2\right)=15\)
\(\Leftrightarrow7x-2x^2+2x^2-4x=15\)
\(\Leftrightarrow3x=15\)
hay x=5
3: Ta có: \(2x\left(9x-4\right)-9x\left(2x-3\right)=-38\)
\(\Leftrightarrow18x^2-8x-18x^2+27x=-38\)
\(\Leftrightarrow19x=-38\)
hay x=-2
7: Ta có: \(\left(x-5\right)\left(x+5\right)-\left(x-5\right)^2=30\)
\(\Leftrightarrow x^2-5-x^2+10x-25=30\)
\(\Leftrightarrow10x=60\)
hay x=6
8: Ta có: \(\left(x+2\right)\left(x-2\right)+8=\left(x-1\right)^2\)
\(\Leftrightarrow x^2-4+8=x^2-2x+1\)
\(\Leftrightarrow-2x=3\)
hay \(x=-\dfrac{3}{2}\)