TÍNH NHANH : (1978 X 1979 + 1980 X 21 +1958) / (1980 x 1979 - 1978 x 1979)
Rút gọn : (5mũ2 x 6 mũ2 x 16 mũ2 + 6 mũ2 x 12 mũ2 x 15 mũ2) / (2 x 6 mũ2 x 10 mũ4 -81 mũ2 x960 mũ3)
giúp mình nhanh mình tích cho
1. (X mũ3-1)(X mũ2+1)=0
2. (2X +6)(3X mũ2 -12)=0
\(1.\left(x^3-1\right)\left(x^2+1\right)=0\)
\(< =>\left\{{}\begin{matrix}x^3-1=0\\x^2+1=0\end{matrix}\right.\)
\(< =>\left\{{}\begin{matrix}x^3=1\\x^2=-1\left(kxđ\right)\end{matrix}\right.\)
<=>x=1
vậy ...
\(2.\left(2x+6\right)\left(3x^2-12\right)=0\)
\(< =>\left\{{}\begin{matrix}2x+6=0\\3x^2-12=0\end{matrix}\right.\)
\(< =>\left\{{}\begin{matrix}2x=-6\\3x^2=12\end{matrix}\right.\)
\(< =>\left\{{}\begin{matrix}x=-3\\x^2=4\end{matrix}\right.\)
\(< =>\left\{{}\begin{matrix}x=-3\\x=2\\x=-2\end{matrix}\right.\)
vậy ...
Trong Th này bn nên dùng dấu ''hoặc''
a,\(\left(x^3-1\right)\left(x^2+1\right)=0\)
\(\left[{}\begin{matrix}x^3-1=0\\x^2+1=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}x^3=1\\x^2=-1\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=1\\x=\pm1\end{matrix}\right.\)
b, \(\left(2x+6\right)\left(3x^2-12\right)=0\)
\(\left[{}\begin{matrix}2x+6=0\\3x^2-12=0\end{matrix}\right.\)
\(\left[{}\begin{matrix}2x=-6\\3x^2=12\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-3\\x^2=4\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-3\\x=\pm2\end{matrix}\right.\)
(x-6)mũ2=(x-6)mũ3
tính nhanh
a. 1978 x 1979 + 1980 x 21 + 1958
b. 1980 x 1979 - 1978 x 1979
giúp mk với nhé
cọc a ko bik làm :)))
b) 1980 x 1979 - 1978 x 1979
= ( 1980 - 1978 ) x 1979
= 2 x 1979
= 3958
Chúc bạn hok tốt!~~~
b) 1980 . 1979 - 1978 . 1979
= 1979 ( 1980 - 1978 )
=1979 . 2
= 3958
=))
Rút gọn
(-2x-1)×(x 2-x-3)-(x+2)×(x+1)mũ2
Tìm x
(X+2)×(x-1)-(x-3)×(x+2)=3
x mũ2 +11x-13=0
2x mũ2-5x+2=0
Giúp mk vs mk dg cần gấp
1. (-2x - 1)(x2 - x - 3) - (x + 2)(x + 1)2
= -2x3 + 2x2 + 6x - x2 + x + 3 - (x + 2)(x2 + 2x + 1)
= -2x3 + x2 + 7x + 3 - x3 - 2x2 - x - 2x2 - 2x - 2
= -3x3 - 3x2 + 4x + 1
2. (x + 2)(x - 1) - (x - 3)(x + 2) = 3
=> (x + 2)(x - 1 - x + 3) = 3
=> (x + 2).0 = 3
...(xem lại đề)
\(\left(x+2\right)\left(x-1\right)-\left(x-3\right)\left(x+2\right)=3\)
\(\Leftrightarrow\left(x+2\right)\left(x-1-x+3\right)=3\)
\(\Leftrightarrow2\left(x+2\right)=3\)
\(\Leftrightarrow x+2=\frac{3}{2}\)
\(\Leftrightarrow x=\frac{3}{2}-2\)
\(\Leftrightarrow x=-\frac{1}{2}\)
\(x^2+11x-13=0\)
Ta có: \(\Delta=11^2+4.13=173\)
Vậy pt có 2 nghiệm phân biệt:
\(x_1=\frac{-11+\sqrt{173}}{2}\);\(x_2=\frac{-11-\sqrt{173}}{2}\)
\(2x^2-5x+2=0\)
Ta có: \(\Delta=5^2-4.2.2=9,\sqrt{\Delta}=3\)
Vậy pt có 2 nghiệm phân biệt:
\(x_1=\frac{5+3}{4}=2\);\(x_2=\frac{5-3}{4}=\frac{1}{2}\)
1987 x 1979 + 1980 x 21 +1958/1980 x 1979 -1978 x 1979
1987 x 1979 + 1980 x 21 + 1958 / 1980 x 1979 - 1978 x 1979
= 1987 x 21 + 1958 / 1979 - 1978
= 41727 + 1958 / 1
= 43685 / 1 = 43685
Tìm x biết:[x mũ2 -8].[x mũ2 -12]<0 biết x thuộc z
Ta có :
\(\left(x^2-8\right)\left(x^2-12\right)< 0\)
Trường hợp 1 :
\(\hept{\begin{cases}x^2-8< 0\\x^2-12>0\end{cases}\Leftrightarrow\hept{\begin{cases}x^2< 8\\x^2>12\end{cases}\Leftrightarrow}\hept{\begin{cases}x< \sqrt{8}\\x>\sqrt{12}\end{cases}}}\) ( loại )
Trường hợp 2 :
\(\hept{\begin{cases}x^2-8>0\\x^2-12< 0\end{cases}\Leftrightarrow\hept{\begin{cases}x^2>8\\x^2< 12\end{cases}\Leftrightarrow}\hept{\begin{cases}x>\sqrt{8}\\x< \sqrt{12}\end{cases}}}\)
\(\Rightarrow\)\(\sqrt{8}< x< \sqrt{12}\)
Mà \(x\inℤ\) nên \(\sqrt{8}< x< \sqrt{12}\)\(\Leftrightarrow\)\(3< x< 3\) ( loại )
Vậy không có giá trị x thoã mãn đề bài
Chúc bạn học tốt ~
Bài 1: Tìm số tự nhiên có 3 chữ số abc, biết rằng: b^2= ac và abc - cba = 495.
Bài 2:
a) Tính nhanh: (1978*1979+1980 * 21 +1958) / (1980 * 1979 - 1978*1979)
b) Rút gọn: (5^2 * 6^11 *16^2 + 6^2 * 12^6 *15^2) / (2*6^12*10^4-81^2*960^3)
Tìm nghiệm các đa thức sau:
g(x)=(x-3).(16-4x)
k(x)=x mũ2 -81
m(x)=x mũ2+ 7x-8
n(x)=5xmũ 2+9x+4
a)ta có:g(x)=(x-3).(16-4x)=0
Th1:x-3=0
=>x=3
Th2:16-4x=0
=>4x=16
=>x=4
Tìm X :
A) x.(x-2)-(x+3).x+7+9x=6
B)(3x-5).(7-5x)-(5x+2).(2-3x)=4
C)(x+2).(x mũ2 -2x+4)-(x.3+3)=14x
D)(x mũ2 -x+1).(x+1)-x mũ3 -3x=2
GẤP MN HỘ E ...!!🙂😣
Giải:
a) \(x\left(x-2\right)-\left(x+3\right).x+7+9x=6\)
\(\Leftrightarrow x^2-2x-\left(x^2+3x\right)+7+9x=6\)
\(\Leftrightarrow x^2-2x-x^2-3x+7+9x=6\)
\(\Leftrightarrow4x=-1\)
\(\Leftrightarrow x=-\dfrac{1}{4}\)
Vậy ...
b) \(\left(3x-5\right)\left(7-5x\right)-\left(5x+2\right)\left(2-3x\right)=4\)
\(\Leftrightarrow21x-35-15x^2+25x-\left(10x+2-15x^2+6x\right)=4\)
\(\Leftrightarrow21x-35-15x^2+25x-10x-2+15x^2-6x=4\)
\(\Leftrightarrow30x-37=4\)
\(\Leftrightarrow30x=41\)
\(\Leftrightarrow x=\dfrac{41}{30}\)
Vậy ...
c) \(\left(x+2\right)\left(x^2-2x+4\right)-\left(x^3+3\right)=14x\) (Sửa đề)
\(\Leftrightarrow x^3+8-x^3-3=14x\)
\(\Leftrightarrow5=14x\)
\(\Leftrightarrow x=\dfrac{5}{14}\)
Vậy ...
d) \(\left(x^2-x+1\right)\left(x+1\right)-x^3-3x=2\)
\(\Leftrightarrow x^3+1-x^3-3x=2\)
\(\Leftrightarrow1-3x=2\)
\(\Leftrightarrow-3x=1\)
\(\Leftrightarrow x=-\dfrac{1}{3}\)
Vậy ...
a) \(x\left(x-2\right)-\left(x+3\right)x+7+9x=6\)
=> \(x^2-2x-x-3x+7+9x=6\)
=> \(x^2-2x-x^2-3x+7+9x=6\)
=> \(\left(x^2-x^2\right)+\left(-2x-3x+9x\right)=6-7\)
=> \(4x=-1\)
Vậy \(x=\dfrac{-1}{4}\)
b) \(\left(3x-5\right)\left(7-5x\right)-\left(5x+2\right)\left(2-3x\right)=4\)
=>\(21x-15x^2-35+25x-10x+15x^2-4+6x=4\)
=> \(\left(21x+25x-10x+6x\right)\)\(+\left(-15x^2+15x^2\right)\)\(=4+35+4\)
=> \(42x=43\)
Vậy \(x=\dfrac{43}{42}\)
c) \(\left(x+2\right)\left(x^2-2x+4\right)-\left(x^3+3\right)=14\)
=> \(x^3-2x^2+4x+2x^2-4x+8-x^3-3\)\(=14x\)
=>\(\left(x^3-x^3\right)+\left(-2x^2+2x^x\right)+\left(4x-4x\right)+\left(8-3\right)\)\(=14x\)
=> \(5=14x\)
Vậy \(x=\dfrac{5}{14}\)
d) \(\left(x^2-x+1\right)\left(x+1\right)-x^3-3x=2\)
=> \(x^3+x^2+x+x^2-x+1-x^3-3x=2\)
=>\(\left(x^3-x^3\right)+\left(-x^2+x^2\right)+\left(x-x-3x\right)=2-1\)
=> \(-3x=1\)
Vậy \(x=\dfrac{-1}{3}\)