đặt C(x)=0
\(\Leftrightarrow-7x+\dfrac{1}{2}+2x^3-2x-16-2x^3=0\)
=>-9x-31/2=0
=>-9x=31/2
hay x=-31/18
đặt C(x)=0
\(\Leftrightarrow-7x+\dfrac{1}{2}+2x^3-2x-16-2x^3=0\)
=>-9x-31/2=0
=>-9x=31/2
hay x=-31/18
1) Thu gọn các đơn thức sau và tìm bậc:
a) \(\dfrac{1}{2}x^2.\left(-2x^2y^2z\right).\dfrac{-1}{3}x^2y^3\)
b) \(\left(-x^2y\right)^3.\dfrac{1}{2}x^2y^3.\left(-2xy^2z\right)^2\)
2) Thu gọn:
a) \(\left(-6x^3zy\right)\left(\dfrac{2}{3}yx^2\right)^2\)
b) \(\left(xy-5x^2y^2+xy^2-xy^2\right)-\left(x^2y^2+3xy^2-9x^2y\right)\)
3) Tính tổng và hiệu các đơn thức sau:
a) \(2x^2+3x^2-7x^2\)
b) \(5xy-\dfrac{1}{3}xy+xy\)
c) \(15xy^2-\left(-5xy^2\right)\)
Cho hai đa thức :
\(P\left(x\right)=x^5+7x^4-9x^3-2x^2-\dfrac{1}{4}x\)
\(Q\left(x\right)=5x^4-x^5+x^2-2x^3+3x^2-\dfrac{1}{4}\)
a) Thu gọn và sắp xếp các đa thức trên theo lũy thừa giảm
b) Tính P(x) + Q(x) và P(x) - Q(x)
Tìm các số hữu tỷ x,biết rằng:
a,\(\left(x-\dfrac{5}{3}\right):-1\dfrac{3}{4}=0\)
b,\(\left(x-\dfrac{1}{5}\right)\left(1\dfrac{3}{5}+2x\right)=0\)
c,\(\left(x-\dfrac{4}{7}\right):\left(x+\dfrac{1}{2}\right)>0\)
d,(2x-3):\(\left(x+1\dfrac{3}{4}\right)< 0\)
ĐỀ 2:
1. Tính:
A. \(\left(-\dfrac{2}{3}\right)^2+\left(-\dfrac{7}{8}\right)+\left(-\dfrac{11}{12}\right)\)
B. \(\left(\dfrac{-1}{3}\right)^2:\dfrac{1}{6}-2.\left(\dfrac{-1}{2}\right)^3\)\
C. \(\dfrac{-1}{5}-\left(\dfrac{1}{2}+\dfrac{3}{4}\right)^2:\dfrac{5}{8}\)
D. \(\left|\dfrac{-3}{2}+1,2\right|+1\dfrac{2}{3}:6\)
2. Tìm x, biết:
a. \(\dfrac{2}{3}x-\dfrac{1}{3}x=\dfrac{5}{12}\)
b. \(\left(x-\dfrac{12}{7}\right):1\dfrac{1}{5}=\dfrac{4}{7}\)
c. \(\dfrac{2}{5}+\left|x+1\right|=\dfrac{3}{4}\)
3. Tìm x, y biết:
a. \(\dfrac{x}{18}=\dfrac{y}{15}\)và x - y = -30
b. 7x = 9x và 10x - 8x = 68
c. \(\left(x-\dfrac{1}{2}\right)^{50}+\left(y+\dfrac{1}{3}\right)^{40}=0\)
* Lm nhanh nha
Rút gọn:
\(\left[\dfrac{3}{x+1}+\left(\dfrac{3}{x+1}-\dfrac{x}{1+2x+x^2}\right):\dfrac{2x^3+3x^2}{x+1}\right]:\dfrac{3x+1}{x^3+x^2}:\left(x-1\right)\)
Tìm nghiệm của các đa thức sau:
\(A=-\dfrac{2}{3}x-\dfrac{5}{9}\) \(B=x^2-\dfrac{4}{25}\) \(C=\dfrac{1}{2}x^3+\dfrac{4}{27}\) \(D=x^3-\dfrac{1}{8}x\)
\(E=-\dfrac{16}{81}+x^4\) \(F=-x.\left(-2x+3\right).\left(1-x^3\right)\) \(I=2.\left(2-x\right)+\dfrac{1}{2}\left(x-2\right)^2\) \(G=x^{100}-8.x^{97}\)
tim
\(\dfrac{31-2x}{x+23}=\dfrac{9}{4}\),a
b,\(\dfrac{\left|2x-1\right|}{\dfrac{1}{2}}=\dfrac{18}{5}\)
c, \(\dfrac{x-2}{x-1}=\dfrac{x+4}{x+7}\)
d, \(\dfrac{3x+2}{5x-3}=\dfrac{3x-1}{5x-3}\)
Tìm x, biết rằng:
a) \(\left(x-\dfrac{3}{4}\right)^2=0\)
b) \(\left(x-3\right)^2=1\)
c) \(\left(2x+1\right)^3=-8\)
d) \(\left(x-\dfrac{1}{4}\right)^2=\dfrac{1}{4}\)
Rút gọn:
\(A=\left[\left(\dfrac{3}{1+x}-\dfrac{x}{x^2+x+1}\right):\dfrac{2x^2+3x}{x+1}+\dfrac{3}{x+1}\right]\cdot\dfrac{x^2+x}{1+3x}\)
\(B=\left[\dfrac{a}{2a-6}-\dfrac{a^2}{a^2-9}+\dfrac{a}{2a-9}\cdot\left(\dfrac{3}{a}+\dfrac{1}{3-a}\right)\right]:\dfrac{a^2-5a-6}{18-2a^2}\)