Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(10x-\frac{5}{18}+x+\frac{3}{12}=7x+\frac{3}{6}-12-\frac{x}{9}\)
\(10x+x-7x+\frac{x}{9}=\frac{3}{6}+\frac{5}{18}-\frac{3}{12}-12\)
\(\frac{37}{9}x=-\frac{413}{36}\)
\(x=-\frac{413}{148}\)
\(d,\frac{10x+3}{8}=\frac{7-8x}{12}\)
\(\left(10x+3\right):8=\left(7-8x\right):12\)
\(\left(10x+3\right).\frac{1}{8}=\left(7-8x\right).\frac{1}{12}\)
\(\frac{5}{4}x+\frac{3}{8}=\frac{7}{12}-\frac{8}{12}x\)
\(\frac{5}{4}x+\frac{8}{12}x=\frac{7}{12}-\frac{3}{8}\)
\(\frac{23}{12}x=\frac{5}{24}\)
\(x=\frac{5}{46}\)
E mới lớp 6 nên giải sai thì thông cảm ạ UwU
\(b,\frac{x}{10}-\left(\frac{x}{30}+\frac{2x}{45}\right)=\frac{4}{5}\)
\(< =>\frac{9x}{90}-\frac{7x}{90}=\frac{4}{5}\)
\(< =>\frac{x}{45}=\frac{32}{45}\)
\(< =>x=32\)
\(d,\frac{10x+3}{8}=\frac{7-8x}{12}\)
\(< =>\left(10x+3\right).12=\left(7-8x\right).8\)
\(< =>120x+36=56-64x\)
\(< =>184x=56-36=20\)
\(< =>x=\frac{20}{184}=\frac{5}{46}\)
\(x^3-7x-6=0\)
\(x^3-3x^2+3x^2+2x-9x-6=0\)
\(x^2.\left(x-3\right)+3x.\left(x-3\right)+2.\left(x-3\right)=0\)
\(\left(x+3\right).\left(x^2+3x+2\right)=0\Rightarrow\left(x-3\right).\left(x^2+3x+x+2\right)=0\)
\(\Rightarrow\left(x-3\right).\left(x+1\right).\left(x+2\right)=0\Rightarrow\orbr{\begin{cases}x=3\\x=-1\end{cases}}\text{hoặc }x=-2\)
a)\(ĐKXĐ:x\ne\pm1\)
\(\frac{x+1}{x-1}+\frac{x-1}{x+1}=\frac{16}{x^2-1}\)
\(\Rightarrow\frac{\left(x+1\right)^2+\left(x-1\right)^2}{x^2-1}=\frac{16}{x^2-1}\)
\(\Rightarrow\left(x+1\right)^2+\left(x-1\right)^2=16\)
\(\Rightarrow\left(x^2+2x+1\right)+\left(x^2-2x+1\right)=16\)
\(\Rightarrow2x^2+2=16\Rightarrow x^2+1=8\Rightarrow x^2=7\)
\(\Rightarrow x=\pm\sqrt{7}\)
c)\(ĐKXĐ:x\ne-2\)
\(\frac{12}{8+x^3}=1+\frac{1}{x+2}\)
\(\Rightarrow\frac{12}{8+x^3}=\frac{x+3}{x+2}\)
\(\Rightarrow\frac{12}{8+x^3}=\frac{\left(x+3\right)\left(x^2-2x+4\right)}{x^3+8}\)
\(\Rightarrow\left(x+3\right)\left(x^2-2x+4\right)=12\)
\(\Rightarrow x^3-5x^2+10x-12=12\)
\(\Rightarrow x^3-5x^2+10x=0\)
\(\Rightarrow x\left(x^2-5x+10\right)=0\)
Vì \(\left(x^2-5x+10\right)>0\)nên x = 0
Vậy x = 0
\(A=\left(x-1\right)\left(x-5\right)+18\)
\(=x^2-6x+5+18\)
\(=x^2-6x+9+14\)
\(=\left(x-3\right)^2+14\)
\(\Rightarrow A_{min}=14\Leftrightarrow\left(x-3\right)^2=0\)
\(\Rightarrow x-3=0\Leftrightarrow x=3\)
Ta có:
A = (x - 1)(x - 5) + 18 = x2 - 5x - x + 5 + 18 = x2 - 6x + 23 = (x2 - 6x + 9) + 14 = (x - 3)2 + 14
Ta luôn có: (x - 3)2 \(\ge\)0 \(\forall\)x => (x - 3)2 + 14 \(\ge\)14 \(\forall\)x
hay A \(\ge\)14 \(\forall\)x
Dấu "=" xảy ra khi : (x - 3)2 = 0 <=> x - 3 = 0 <=> x = 3
Vậy Amin = 14 tại x = 3
a)(x2-x+1)(x2-x+2)-12 (1)
Đặt x2-x+1=a thì (1) <=> a(a+1)-12=a2+a-12
=(a2-3a)+(4a-12)
=a(a-3)+4(a-3)
=(a-3)(a+4)
=(x2-x+1-3)(x2-x+1+4)
=(x2-x-2)(x2-x+5)
Vậy......
b) Đặt x2+x=a thì a2 + 4a-12 = (a2-2a)+(6a-12)
= a(a-2) + 6(a-2)
= (a+6)(a-2)
= (x2+x+6)(x2+x-2)
Vậy....
a) \(x^2+4x+3\)
\(=x^2+3x+x+3\)
\(=x\left(x+3\right)+\left(x+3\right)\)
\(=\left(x+1\right)\left(x+3\right)\)
2.(x - 12) + 18 = 164
2 ( x - 12) = 164 - 18
2( x - 12) = 146
x - 12 = 146 :2
x - 12 = 73
x = 73 + 12
x = 85
Đúng cho tui nha