7-|4x-5|=1
Bài 1: Rút Gọn
a)(x+7)(x-7)-x2
b)(5x-1)(5x+1)-(25x2+1)
c)(4x+1)(4x-1)-(4x-1)2
d)(3x-5)2-(3x+5)(3x-5)
a) \(=x^2-49-x^2\) \(=-49\)
b) \(=25x^2-1-25x^2-1\) \(=-2\)
c) \(=16x^2-1-16x^2+8x-1\) \(=8x-2\)
d) \(=9x^2-30x+25-9x^2+25\) \(=50-30x\)
|2 + 3x| = |4x - 3|
|3/2x + 1/2| = |4x - 1|
|5/4x - 7/2| - |5/8x + 3/5| = 0
|7/5x + 3/2| - |4/3 - 1/4| = 0
\(\left|2+3x\right|=\left|4x-3\right|\)
\(\Leftrightarrow\orbr{\begin{cases}2+3x=4x-3\\2+3x=3-4x\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=5\\x=\frac{1}{7}\end{cases}}\)
Vậy \(x\in\left\{\frac{1}{7};5\right\}\)
\(\left|\frac{3}{2}x+\frac{1}{2}\right|=\left|4x-1\right|\)
\(\Leftrightarrow\orbr{\begin{cases}\frac{3}{2}x+\frac{1}{2}=4x-1\\\frac{3}{2}x+\frac{1}{2}=1-4x\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{3}{5}\\x=\frac{1}{11}\end{cases}}\)
Vậy \(x\in\left\{\frac{1}{11};\frac{3}{5}\right\}\)
\(\left|\frac{5}{4}x-\frac{7}{2}\right|-\left|\frac{5}{8}x+\frac{3}{5}\right|=0\)
\(\Leftrightarrow\left|\frac{5}{4}x-\frac{7}{2}\right|=\left|\frac{5}{8}x+\frac{3}{5}\right|\)
Giải tiếp tương tự
Sau đó giải tiếp câu còn lại
a, \(\left|2+3x\right|=\left|4x-3\right|\)
\(\Rightarrow\orbr{\begin{cases}2+3x=4x-3\\2+3x=-4x+3\end{cases}\Rightarrow\orbr{\begin{cases}3x-4x=-3-2\\3x+4x=3-2\end{cases}\Rightarrow}\orbr{\begin{cases}-x=-5\\7x=1\end{cases}\Rightarrow\orbr{\begin{cases}x=5\\x=\frac{1}{7}\end{cases}}}}\)
Câu b tương tự
c, \(\left|\frac{5}{4}x-\frac{7}{2}\right|-\left|\frac{5}{8}x+\frac{3}{5}\right|=0\)
\(\Rightarrow\left|\frac{5}{4}x-\frac{7}{2}\right|=\left|\frac{5}{8}x+\frac{3}{5}\right|\)
\(\Rightarrow\orbr{\begin{cases}\frac{5}{4}x-\frac{7}{2}=\frac{5}{8}x+\frac{3}{5}\\\frac{5}{4}x-\frac{7}{2}=-\frac{5}{8}x-\frac{3}{5}\end{cases}\Rightarrow\orbr{\begin{cases}\frac{5}{4}x-\frac{5}{8}x=\frac{3}{5}+\frac{7}{2}\\\frac{5}{4}x+\frac{5}{8}x=-\frac{3}{5}+\frac{7}{2}\end{cases}\Rightarrow}\orbr{\begin{cases}\frac{5}{8}x=\frac{41}{10}\\\frac{15}{8}x=\frac{29}{10}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{164}{25}\\x=\frac{116}{75}\end{cases}}}\)
d, \(\left|\frac{7}{5}x+\frac{3}{2}\right|-\left|\frac{4}{3}-\frac{1}{4}\right|=0\)
\(\Rightarrow\left|\frac{7}{5}x+\frac{3}{2}\right|-\frac{13}{12}=0\)
\(\Rightarrow\left|\frac{7}{5}x+\frac{3}{2}\right|=\frac{13}{12}\)
Đến đây dễ rồi, tự làm tiếp :)
P/s: Ko chắc, sai ib với t :v
Tìm x biết
a) (7^x-2+7^x-1+7)/57=(5^x+5^2x+1+5^2x+3)/131
b) (4x-3)^4=(4x-3)^2
a)3x*(4x^2-x+7) b)(2x-1)*(4x+5) c)(12x^7-9x^5+6x^3)3x^2
1)x^6+3x^5+4x^4+4x^3+4x^2+3x+1
2)(x+y+z)^2+(x-2)^2
3)(a-b)^3+(b-c)^3+(c-a)^3
4)10(x^7+y^7+z^7)=7(x^2+y^2+z^2)(x^5+y^5+z^5)
B= 6xy+4x^4-y^7-4x^4y^3+10-5xy+2y^7-5 tại x=- 1,y=1
Thay x =-1 và y= 1 vào biểu thức B ta có
B = \(6.\left(-1\right).1+4.\left(-1\right)^4\)\(-1^7\)-\(4.\left(-1\right)^4\).\(1^3\) \(+10-5.\left(-1\right).1+2.1^7\)-\(5\)
B = \(6.\left(-1\right).1+4.1-1-4.1+10-5.\left(-1\right).1+2.1-5\)
B = 5