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a: \(\Leftrightarrow\left(x+12-3x\right)\left(x+12+3x\right)=0\)
=>(-2x+12)(4x+12)=0
=>x=-3 hoặc x=6
b: \(\Leftrightarrow20x^3-15x^2+45x-45=0\)
=>\(x\simeq0.93\)
d: =>-4x+28+11x=-x+3x+15
=>7x+28=2x+15
=>5x=-13
=>x=-13/5
e: \(\Leftrightarrow4x^3-12x+x=4x^3-3x+5\)
=>-9x=-3x+5
=>-6x=5
=>x=-5/6
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Bài 1:Tìm x,y biết:
a)\(x^2-6x+y^2+10y+34\)
=>\(\left(x^2-2.x.3+3^2\right)+\left(y^2+2.y.5+5^2\right)=0\)
=>\(\left(x-3\right)^2+\left(y+5\right)^2=0\)
=>\(\left\{{}\begin{matrix}x-3=0\\y+5=0\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x=3\\y=-5\end{matrix}\right.\)
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\(\frac{12x+1}{11x-4}+\frac{10x-4}{9}=\frac{20x+17}{18}\left(ĐKXĐ:x\ne\frac{4}{11}\right).\)
\(\Leftrightarrow\frac{18.\left(12x+1\right)}{18.\left(11x-4\right)}+\frac{2.\left(11x-4\right).\left(10x-4\right)}{18.\left(11x-4\right)}=\frac{\left(11x-4\right).\left(20x+17\right)}{18.\left(11x-4\right)}\)
\(\Rightarrow18.\left(12x+1\right)+2.\left(11x-4\right).\left(10x-4\right)=\left(11x-4\right).\left(20x+17\right)\)
\(\Leftrightarrow216x+18+\left(22x-8\right).\left(10x-4\right)=220x^2+187x-80x-68\)
\(\Leftrightarrow216x+18+220x^2-88x-80x+32=220x^2+107x-68\)
\(\Leftrightarrow48x+50+220x^2=220x^2+107x-68\)
\(\Leftrightarrow48x+50+220x^2-220x^2-107x+68=0\)
\(\Leftrightarrow118-59x=0\)
\(\Leftrightarrow59x=118-0\)
\(\Leftrightarrow59x=118\)
\(\Leftrightarrow x=118:59\)
\(\Leftrightarrow x=2\left(TM\right).\)
Vậy phương trình có tập hợp nghiệm là: \(S=\left\{2\right\}.\)
Chúc bạn học tốt!
20x + 4x - 6 = 10x + 11x + 6
=> 20x + 4x - 10x - 11x = 6 + 6
=> 3x = 12
=> x = 4
tích đúng cho mình chứ??
ta có :
\(24x-6=21x+6\)
\(\Leftrightarrow3x=12\)
\(\Leftrightarrow x=4\)