a=2x2 1 phan 3 y , tai x = 2 ,y =9
cong phan thuc
a)x2+2/x2+4+5/x+2
b)x+y/2+x+2/2x2+4
c)8/(x2+3)(x2-1)+2/x2+3+1/X+1
c: \(=\dfrac{8}{\left(x^2+3\right)\left(x-1\right)\left(x+1\right)}+\dfrac{2x^2-2}{\left(x^2+3\right)\left(x-1\right)\left(x+1\right)}+\dfrac{\left(x^2+3\right)\left(x-1\right)}{\left(x^2+3\right)\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{1}{x-1}\)
Tính giá trị của biểu thức:
a) A= 2x2-1/3y , tại x=2 ; y=9
b) P= 2x2+3xy+y2 , tại x= -1/2 ; y= 2/3
`Answer:`
a. Thay `x=2` và `y=9` vào biểu thức `A`, ta được:
\(A=2.2^2-\frac{1}{3}.9=2.4-\frac{1}{3}.9=8-3=5\)
b. Thay `x=-1/2` và `y=2/3` vào biểu thức `P`, ta được:
\(P=2.\left(-\frac{1}{2}\right)^2+3.\left(-\frac{1}{2}\right).\left(\frac{2}{3}\right)+\left(\frac{2}{3}\right)^2=2.\frac{1}{4}+3.\left(-\frac{1}{2}\right).\left(\frac{2}{3}\right)+\frac{4}{9}=\frac{1}{2}+\left(-1\right)+\frac{4}{9}=-\frac{1}{18}\)
1) - Phan tich cac da thuc sau thanh nhan tu :
a) 14x2y2 - 21xy2 + 28x2y d) 2 phan 7 x(3y -1 )-2 phan 7y (3y-1)
b) x3 -3x2 + 3x- 1 e) (x+y)2-4x2
c) 27x2+1phan 8 f) (x+y)3-(x-y)3
2) tim x biet
a) x2(x+1)+2x(x+1)=0 b) x(3x-2)-5(2-3x)=0
c) 4 phan 9 -25x2=0 d) x2-x+phan4=0
3) tinh nhanh cac gia tri bieu thuc sau :
a) 17.91,5+170.0,85 b) 20162-162
c) x(x-10-y(1-x)tai x=2001va y = 2999
2.a là x=0 , x=-1, x=-2
2.b là x=2/3 , x=-5
cong phan thuc
x+y/2+x+2/2x2+4
x+\(\dfrac{y}{2}\)+x+\(\dfrac{2}{2}\)x2+4
=2x+\(\dfrac{4+y}{2}\)+4
tìm x:
(1)
a) \(x+\dfrac{2}{3}=\dfrac{-1}{12}\)
b)\(\left(2x+1\right)^2=9\)
(2) cho hàm số y=f(x)=2x2+4. Tính f(2);f(-1)
(1)
a) x=\(\dfrac{-1}{12}-\dfrac{2}{3}\)=\(\dfrac{-3}{4}\)
b) 2x+1=3 => 2x=3-1=2 => x=1
(2)
f(2)=2.22+4=12
f(-1)=2.(-1)2+4=6
(1)
a) \(x+\dfrac{2}{3}=-\dfrac{1}{12}\\ \Rightarrow x=-\dfrac{1}{12}-\dfrac{2}{3}\\ \Rightarrow x=\dfrac{-1}{12}-\dfrac{8}{12}\\ \Rightarrow x=-\dfrac{9}{12}=-\dfrac{3}{4}\)
Vậy \(x=-\dfrac{3}{4}\)
b) \(\left(2x+1\right)^2=9\\ \Rightarrow\left(2x+1\right)^2=3^2=\left(-3\right)^2\\ \Rightarrow\left[{}\begin{matrix}2x+1=3\\2x+1=-3\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}2x=2\\2x=-4\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=1\\x=-2\end{matrix}\right.\)
Vậy \(x\in\left\{-2;1\right\}\)
(2)
\(y=f\left(x\right)=2x^2+4\\ f\left(2\right)=2\cdot2^2+4=8+4=12\\ f\left(-1\right)=2\cdot\left(-1\right)^2+4=2+4=6\)
Vậy \(f\left(2\right)=12\\ f\left(-1\right)=6\)
bai 1
a) x phan 7 = 9 phan y va x>y
b) -2 phan x = y phan 5 va x<0<y
cho parabol(P): y=-x2 va duong thang (d): y=(k-1)x -6
Chung minh (P) luon cat (d) tai 2 diem phan biet co hoanh do x1 ; x2
Goi y1 y2 lan luot la tung do 2 giao diem tim k sao cho
(y1 +9)(y2 +4)=-25
Cho don thuc A=(-2xy)-4/5x^2y^3 a,Thu gon don thuc tren ,cho biet phan he so va phan bien ,tim bac cua don thuc b,Tinh gia trim cua don thuc tai x=1,y=-1
a, P=-3(x^3.x)(y^2.y^3)
=-3x^4y^5
b, Thay x=-1 , y=2 vào đơn thức P . Ta có :
P=-3.(-1)^4.2^5
P=3.1.32
P=96
Cho don thuc A=(-2xy)-4/5x^2y^3 a,Thu gon don thuc tren ,cho biet phan he so va phan bien ,tim bac cua don thuc b,Tinh gia trim cua don thuc tai x=1,y=-1