Biết \(x^2+\left(2x\right)^2+\left(3x\right)^2+\left(4x\right)^2+\left(5x\right)^2=220\) và x>0
Nhanh nha trước 9h sáng mai nhé !!! Thầy phynit giúp em nha !!! Cả các bạn trong hoc24 nữa !!!
Biết \(x^2+\left(2x\right)^2+\left(3x\right)^2+\left(4x\right)^2+\left(5x\right)^2=220\) và x>0
=>x^2(1+4+9+16+25)=220
=> x^2.55=220
=> x^2=4
=>x=2 hoặc x= -2
Tìm x biết :
\(\left(2x-1\right)^3+\left(3x+2\right)^3-\left(5x+1\right)^3=0\)
MẤY BẠN GIÚP MK VS Ạ AI NHANH MK VOTE NHA
biết \(x^2+\left(2x\right)^2+\left(3x\right)^2+\left(4x\right)^2+\left(5x\right)^2\)= 220 và x> 0
Vậy x=
Tìm x biết
1) \(\left(2x+3\right)\left(x-4\right)+\left(x-5\right)\left(x-2\right)=\left(3x-5\right)\left(x-4\right)\)
2)\(\left(8x-3\right)\left(3x+2\right)-\left(4x+7\right)\left(x+4\right)=\left(2x+1\right)\left(5x+1\right)-33\)
3)\(6x\left(3x+5\right)-2x\left(9x-2\right)+\left(17-x\right)\left(x-1\right)+x\left(x-18\right)-17x^2=0\)
4)\(\left(x-1\right)\left(x+2\right)-\left(x-3\right)+5x-7=0\)
Giúp mình nha. Camon nhiều
Biết \(x^2+\left(2x\right)^2+\left(3x\right)^2+\left(4x\right)^2+\left(5x\right)^2=220\) và \(x>0\).
VẬy x=...
x2+(2x)2+(3x)2+(4x)2+(5x)2 = 220
=> x2+22.x2+32.x2+42.x2+52.x2 =220
=> x2 (1+4+9+16+25) = 220
=> x2 . 55 = 220
=> x2 = 220:55 = 4 = 22 = (-2)2
Vi x>0 nen x= 2
Tìm x:
\(^{x^2+\left(2x\right)^2+\left(3x\right)^2+\left(4x\right)^2+\left(5x\right)^2=220}\)
và x > 0
BẠN NÀO GIÚP TỚ BÀI NÀY THÌ TỚ THỀ SẼ BÁI BẠN ẤY THÀNH SƯ PHỤ LUÔN
(mà nếu có làm trái lời thề thì cho thề lại lần sau)
ta có: x^2 +( 2x)^2 + (3x)^2 + (4x)^2+(5x)^2=220
x^2 + 4x^2 + 9x^2 + 16x^2 + 25x^2 =220
55x^2 =220
x^2 =4
mà x> 0 suy ra x=2
nhớ bấm 3 đúng cho mình nhé!
bai nay khong phai la cua lop 5 dau ,cua lop 6 day!!! Nhung ma du sao ket qua cung bang 2
\(\left(x^2-x+1\right)^4-6x^2\left(x^2-x+1\right)^2+5x^4=0\)
\(\Leftrightarrow\left[\left(x^2-x+1\right)^2\right]^2-2\left(x^2-x+1\right)^2.3x^2+\left(3x^2\right)^2-4x^4=0\)
\(\Leftrightarrow\left[\left(x^2-x+1\right)^2-3x^2\right]^2-\left(2x^2\right)^2=0\)
\(\Leftrightarrow\left[\left(x^2-x+1\right)^2-3x^2+2x^2\right]\left[\left(x^2-x+1\right)^2-3x^2-2x^2\right]=0\)
\(\Leftrightarrow\left[\left(x^2-x+1\right)^2-x^2\right]\left[\left(x^2-x+1\right)^2-5x^2\right]=0\)
\(\Leftrightarrow\left(x^2-x+1+x^2\right)\left(x^2-x+1-x^2\right)\left(x^4-2x^3-4x^2+1\right)=0\)
\(\Leftrightarrow\left(2x^2-x+1\right)\left(1-x\right)\left(x+1\right)\left(x^3-2x^2-x+1\right)=0\)
Mấy bạn cho mình gửi tạm nha, xíu mình nhờ CTV xóa :(
Giải các PT:
a) \(\left(3x-2\right).\left(4x+5\right)=0\)
b) \(\left(2,3x-6,9\right).\left(0,1x+2\right)=0\)
c) \(\left(4x+2\right).\left(x^2+1\right)=0\)
d) \(\left(2x+7\right).\left(x-5\right).\left(5x+1\right)=0\)
Áp dụng công thức: \(A\left(x\right).B\left(x\right)=0\Leftrightarrow\left[{}\begin{matrix}A\left(x\right)=0\\B\left(x\right)=0\end{matrix}\right.\)
a) \(PT\Leftrightarrow\left[{}\begin{matrix}3x-2=0\\4x+5=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=-\dfrac{5}{4}\end{matrix}\right.\)
Vậy: \(S=\left\{\dfrac{2}{3};-\dfrac{5}{4}\right\}\)
b) \(PT\Leftrightarrow\left[{}\begin{matrix}2,3x-6,9=0\\0,1x+2=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-20\end{matrix}\right.\)
Vậy: \(S=\left\{3;20\right\}\)
c) Vì \(x^2+1\ge1>0\forall x\)
\(\Rightarrow4x+2=0\)
\(\Leftrightarrow x=-\dfrac{1}{2}\)
Vậy: \(S=\left\{-\dfrac{1}{2}\right\}\)
d) \(PT\Leftrightarrow\left[{}\begin{matrix}2x+7=0\\x-5=0\\5x+1=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{7}{2}\\x=5\\x=-\dfrac{1}{5}\end{matrix}\right.\)
Vậy: \(S=\left\{-\dfrac{7}{2};5;-\dfrac{1}{5}\right\}\)
a: =>3x-2=0 hoặc 4x+5=0
=>x=2/3 hoặc x=-5/4
b: =>(x-3)(x+20)=0
=>x=3 hoặc x=-20
c: =>4x+2=0
hay x=-1/2
d: =>2x+7=0 hoặc x-5=0 hoặc 5x+1=0
=>x=-7/2 hoặc x=5 hoặc x=-1/5
Giải các phương trình sau :
a) \(\left(x-1\right)\left(5x+3\right)=\left(3x-8\right)\left(x-1\right)\)
b) \(3x\left(25x+15\right)-35\left(5x+3\right)=0\)
c) \(\left(2-3x\right)\left(x+11\right)=\left(3x-2\right)\left(2-5x\right)\)
d) \(\left(2x^2+1\right)\left(4x-3\right)=\left(2x^2+1\right)\left(x-12\right)\)
e) \(\left(2x-1\right)^2+\left(2-x\right)\left(2x-1\right)=0\)
f) \(\left(x+2\right)\left(3-4x\right)=x^2+4x+4\)
a) (x-1)(5x+3)=(3x-8)(x-1)
= (x-1)(5x+3)-(3x-8)(x-1)=0
=(x-1)[(5x+3)-(3x-8)]=0
=(x-1)(5x+3-3x+8)=0
=(x-1)(2x+11)=0
\(\Leftrightarrow\) x-1=0 hoặc 2x+11=0
\(\Leftrightarrow\) x=1 hoặc x=\(\dfrac{-11}{2}\)
Vậy S={1;\(\dfrac{-11}{2}\)}
b) 3x(25x+15)-35(5x+3)=0
=3x.5(5x+3)-35(5x+3)=0
=15x(5x+3)-35(5x+3)=0
=(5x+3)(15x-35)=0
\(\Leftrightarrow\) 5x+3=0 hoặc 15x-35=0
\(\Leftrightarrow\) x=\(\dfrac{-3}{5}\) hoặc x=\(\dfrac{7}{3}\)
Vậy S={\(\dfrac{-3}{5};\dfrac{7}{3}\)}
c) (2-3x)(x+11)=(3x-2)(2-5x)
=(2-3x)(x+11)-(3x-2)(2-5x)=0
=(3x-2)[(x+11)-(2-5x)]=0
=(3x-2)(x+11-2+5x)=0
=(3x-2)(6x+9)=0
\(\Leftrightarrow\) 3x-2=0 hoặc 6x+9=0
\(\Leftrightarrow\) x=\(\dfrac{2}{3}\) hoặc x=\(\dfrac{-3}{2}\)
Vậy S={\(\dfrac{2}{3};\dfrac{-3}{2}\)}
d) (2x2+1)(4x-3)=(2x2+1)(x-12)
=(2x2+1)(4x-3)-(2x2+1)(x-12)=0
=(2x2+1)[(4x-3)-(x-12)=0
=(2x2+1)(4x-3-x+12)=0
=(2x2+1)(3x+9)=0
\(\Leftrightarrow\)2x2+1=0 hoặc 3x+9=0
\(\Leftrightarrow\)x=\(\dfrac{1}{2}\)hoặc x=\(\dfrac{-1}{2}\) hoặc x=-3
Vậy S={\(\dfrac{1}{2};\dfrac{-1}{2};-3\)}
e) (2x-1)2+(2-x)(2x-1)=0
=(2x-1)[(2x-1)+(2-x)=0
=(2x-1)(2x-1+2-x)=0
=(2x-1)(x+1)=0
\(\Leftrightarrow\) 2x-1=0 hoặc x+1=0
\(\Leftrightarrow\) x=\(\dfrac{-1}{2}\) hoặc x=-1
Vậy S={\(\dfrac{-1}{2}\);-1}
f)(x+2)(3-4x)=x2+4x+4
=(x+2)(3-4x)=(x+2)2
=(x+2)(3-4x)-(x+2)2=0
=(x+2)[(3-4x)-(x+2)]=0
=(x+2)(3-4x-x-2)=0
=(x+2)(-5x+1)=0
\(\Leftrightarrow\) x+2=0 hoặc -5x+1=0
\(\Leftrightarrow\) x=-2 hoặc x=\(\dfrac{1}{5}\)
Vậy S={-2;\(\dfrac{1}{5}\)}