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\(\frac{2x+2}{3x-6}=\frac{2x-6}{3x-15}\)
\(\Rightarrow\left(2x+2\right)\left(3x-15\right)=\left(2x-6\right)\left(3x-6\right)\)
\(\Rightarrow6x^2-30x+6x-30=6x^2-12x-18x+36\)
\(\Rightarrow6x^2-30x+6x-6x^2+12x+18x=36+30\)
\(\Rightarrow6x=66\)
\(\Rightarrow x=11\)
k mk nha
a) 2|2/3 - x| = 1/2
|2/3 - x| = 1/4
|2/3 - x| = 1/4 hoặc |2/3 - x| = -1/4
Xét 2 TH...
=> (2x+2)(3x-15) = (3x-6)(2x-6)
=> 6x2-30x+6x-30 = 6x2-18x-12x+36
=> 6x2-30x+6x-30-6x2+18x+12x-36 = 0
=> 6x - 96 = 0
=> 6x = 96
=> x = 96/6
=> x = 16
Vậy x = 16
ta có \(\frac{2x}{42}=\frac{28}{3x}\) suy ra
2x*3x=28*42
=>6\(x^2=1176\)
=>x2 =1176/6=196
=>x=\(\sqrt{196}=14\)
Vậy x=14
k cho mình nha
x=196
Ta có \(\frac{2x}{42}=\frac{28}{3x}\)=> 2x*3x=42*28
=>6*x=1176
=>x=1176/6
=>x=196
Từ giả thiết suy ra 2x.3x=42.28
=> 6x2 =1176
=> x2 = 196
=> x= 14 hoặc x=-14
\(A=\frac{x^2-10x+36}{x-5}=\frac{x^2-10x+25+9}{x-5}\) \(=\frac{\left(x-5\right)^2+9}{x-5}=x-5+\frac{9}{x-5}\)
để \(A\in Z\)
<=> \(\frac{9}{x-5}\in Z\)mà \(x\in Z\)
=> \(x-5\inƯ\left(9\right)\)
=> \(x-5\in\left(1;-1;3;-3;9;-9\right)\)
=> \(x\in\left(6;4;8;2;14;-4\right)\)
học tốt
\(A=\left(\frac{1+2x}{2.\left(2+x\right)}-\frac{x}{3.\left(x-2\right)}+\frac{2x^2}{3.\left(4-x^2\right)}\right).\frac{24-12x}{6+13x}\)
\(=\left[\frac{3.\left(1+2x\right)\left(2-x\right)-2x\left(x+2\right)+4x^2}{2.3.\left(x+2\right)\left(2-x\right)}\right].\frac{24-12x}{6+13x}\)
\(=\frac{6+9x-6x^2-2x^2-4x+4x^2}{6.\left(4-x^2\right)}.\frac{24-12x}{6+13x}\)
\(=\frac{6+5x-4x^2}{6.\left(4-x^2\right)}.\frac{12.\left(2-x\right)}{6+13x}\) \(=\frac{\left(6+5x-4x^2\right).2}{\left(x+2\right)\left(6+13x\right)}=\frac{12+10x-8x^2}{13x^2+32x+12}\)
Ta có:\(\frac{2x+2}{3x-6}=\frac{2x-6}{3x-15}\)
\(\Rightarrow\frac{2\left(x+1\right)}{3\left(x-2\right)}=\frac{2\left(x-3\right)}{3\left(x-5\right)}\)
\(\Rightarrow\frac{2}{3}\cdot\frac{x+1}{x-2}=\frac{2}{3}\cdot\frac{x-3}{x-5}\)
\(\Rightarrow\frac{x+1}{x-2}=\frac{x-3}{x-5}\)
\(\Rightarrow\frac{x+1}{x-2}-1=\frac{x-3}{x-5}-1\)
\(\Rightarrow\frac{x+1-x+2}{x-2}=\frac{x-3-x+5}{x-5}\)
\(\Rightarrow\frac{3}{x-2}=\frac{2}{x-5}\)
\(\Rightarrow3\left(x-5\right)=2\left(x-2\right)\)
\(\Rightarrow3x-15=2x-4\)
\(\Rightarrow3x-2x=-4+15\)
\(\Rightarrow x=11\)
x=11