3x-7x+11x-15x+...+155x-159x = 2160
Tìm x\(\in\)Z, biết:
a)x+(x-1)+(x-2)+......+(x-100)=110x+8
b)3x-7x+11x-15x+.....+155x-159x=1680
\(a.x+\left(x-1\right)+\left(x-2\right)+...+\left(x-100\right)=110x+8\)
\(\Leftrightarrow101x-\left(1+2+...+100\right)=110x+8\)
\(\Leftrightarrow101x-\frac{100\left(100+1\right)}{2}=110x+8\)
\(\Leftrightarrow101x-5050=110x+8\)
\(\Leftrightarrow101x-110x=8+5050\)
\(\Leftrightarrow-9x=5058\)
\(\Leftrightarrow x=5058\div\left(-9\right)\)
\(\Leftrightarrow x=-562\)
\(b.3x-7x+11x-15x+...+155x-159x=1680\)
\(\Leftrightarrow\left(3x-7x\right)+\left(11x-15x\right)+...+\left(155x-159x\right)=1680\)
\(\Leftrightarrow-4x-4x-...-4x=1680\)
\(\Leftrightarrow-80x=1680\)
\(\Leftrightarrow x=1680\div\left(-80\right)\)
\(\Leftrightarrow x=-21\)
1)-11x-12
2)7x-24
3)15x+30
4)-8x+16
5)-7x-28
`-11x-12=0`
`=> -11x=0+12`
`=>-11x=12`
`=>x=-12/11`
`---`
`7x-24=0`
`=>7x=0+24`
`=>7x=24`
`=>x=24/7`
`---`
`15x+30=0`
`=>15x=0-30`
`=>15x=-30`
`=>x= -2`
`---`
`-8x+16=0`
`=>-8x=0-16`
`=>-8x=-16`
`=>x=2`
`---`
`-7x-28=0`
`=>-7x=0+28`
`=>-7x=28`
`=>x= -4`
tìm nghiệm của đa thức phải ko ạ vì bạn cx gửi tưởng tự kiểu này
1)
`-11x-12=0`
`<=>-11x=12`
`<=>x=-12/11`
2)
`7x-24=0`
`<=>7x=24`
`<=>x=24/7`
3)
`15x+30=0`
`<=>15x=-30`
`<=>x=-2`
`-8x+16=0`
`<=>-8x=-16`
`<=>x=2`
5)
`-7x-28=0`
`<=>-7x=28`
`<=>x=-4`
tìm x
a)x^2-x-12=0
b)x^2+3x-18=0
c)8x^2+30x+7=0
d)x^3-11x^2+30x=0
e)x^3-7x^2+15x-25=0
giúp mk vs ah!!!!!
a) Ta có: \(x^2-x-12=0\)
\(\Leftrightarrow\left(x-4\right)\left(x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-3\end{matrix}\right.\)
b) Ta có: \(x^2+3x-18=0\)
\(\Leftrightarrow\left(x+6\right)\left(x-3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-6\\x=3\end{matrix}\right.\)
Tính:
\(a)\left(-2x^2\right)\cdot\left(3x-4x^3+7-x^2\right)\)
\(b)\left(x+3\right)\cdot\left(2x^2-3x-5\right)\)
\(c)\left(-6x^5+7x^4-6x^3\right):3x^3\)
\(d)\left(9x^2-4\right):\left(3x+2\right)\)
\(e)\left(2x^4-13x^3+15x^2+11x-3\right):\left(x^2-4x-3\right)\)
a: \(=-2x^2\cdot3x+2x^2\cdot4X^3-2x^2\cdot7+2x^2\cdot x^2\)
\(=8x^5+2x^4-6x^3-14x^2\)
b: \(=2x^3-3x^2-5x+6x^2-9x-15\)
\(=2x^3+3x^2-14x-15\)
c: \(=\dfrac{-6x^5}{3x^3}+\dfrac{7x^4}{3x^3}-\dfrac{6x^3}{3x^3}=-2x^2+\dfrac{7}{3}x-2\)
d: \(=\dfrac{\left(3x-2\right)\left(3x+2\right)}{3x+2}=3x-2\)
e: \(=\dfrac{2x^4-8x^3-6x^2-5x^3+20x^2+15x+x^2-4x-3}{x^2-4x-3}\)
=2x^2-5x+1
Thu gọn đa thức, tìm bậc, hệ số cao nhất.
A = 15x^2 y ^3 + 7x ^2 - 8x^ 3 y ^2 - 12x ^2 + 11x ^3 y ^2 -12x ^2 y^3
B = 3x^ 5 y + 1/-3 xy ^4 + 34 x^ 2 y ^3 . - 1/2 x ^5 y + 2xy ^4 - x^2 y^3
\(A=3x^2y^3-5x^2+3x^3y^2\)
bậc 5, hệ số 3
bạn xem lại đề B nhé
A=15x2y2+7x2-8x3y2-12x2+11x3y2-12x2y2
A= (15x2y2-12x2y2)+(7x2-12x2)+(-8x3y2+11x3y2)
A= 3x2y2-5x2+3x3y2
Bậc là: 5
Hệ số cao nhất: 3
\(B=3x^5y+\left(\dfrac{-1}{3}\right)xy^4+34x^2y^3-\dfrac{1}{2}x^5y+2xy^4-x^2y^3\\ B=\dfrac{5}{2}x^5y+\dfrac{7}{3}xy^4-\dfrac{1}{4}x^2y^3\)
bậc là:6
hệ số cao nhất là:\(\dfrac{7}{3}\)
Phân tích đa thức thành nhân tử
1) 105ax - 90ay - 63bx + 54by
2) 7x2 + 13x + 6
3) 5x2 - 11x + 6
4) x2 - 3x - 10
5) x2 + x - 42
6) 6x2 - 7x - 3
7) 15x2 + 29x - 14
1) (7x-4y)(15a-9b)
2) (x+1)(7x+6)
3) (x-1)(5x-6)
4) (x+2)(x-5)
5) (x+7)(x-6)
6) (2x-3)(3x+1)
7) (3x+7)(5x-2)
Tk mình nha!!!>.<
Bài 1: phân tích đa thức thành nhân tử a, X3+7x2+15x+9 b, X3-3x2+4 c, X3+2x2+3x+2 d, X3+6x2+11x+6
a)
A=(x^3+3x^2+3x+1)+4(x^2+2x+1)+7(x+1)
A=(x+1)^3+4(x+1)^2+7(x+1)
A=(x+1)[(x+1)^2+4(x+1)+7)]
b)
B=x^3-3x^2+4
=(x^3+x^2)-4(x^2-1)
B=(x+1)[x^2-4(x-1)]
=(x+1)[x^2-4x+4)
=(x+1)(x-2)^2
c)
c=(x^3+3x^2+3x+1)-(x^2-1)
=(x+1)^3-(x-1)(x+1)[
=(x+1)[(x+1)^2-(x-1)]
C=(x+1)[(x^2+x+2)
d)
D=(x^3+x^2)+(5x^2+5x)+(6x+6)
D=(x+1)[x^2+5x+6]
D=(x+1)(x+2)(x+3)
Tìm x
a)(x+12)^2-9x^2=0
b)20x^3-15x^2+7x=45-38x
c)16x^4-40x^3+10x^2=80x^3-20x^2+196x
d)-4.(x-7)+11x=-x+3.(x+5)
e)4x.(x^2-3)+x=4x^3-3x+5
a: \(\Leftrightarrow\left(x+12-3x\right)\left(x+12+3x\right)=0\)
=>(-2x+12)(4x+12)=0
=>x=-3 hoặc x=6
b: \(\Leftrightarrow20x^3-15x^2+45x-45=0\)
=>\(x\simeq0.93\)
d: =>-4x+28+11x=-x+3x+15
=>7x+28=2x+15
=>5x=-13
=>x=-13/5
e: \(\Leftrightarrow4x^3-12x+x=4x^3-3x+5\)
=>-9x=-3x+5
=>-6x=5
=>x=-5/6
Cho biểu thức :
A = 15 x - 11 x + 2 x - 3 + 3 x - 2 1 - x - 3 x + 3 x ≥ 0 ; x ≠ 1
a) Thu gọn biểu thức A.
x + 2 x - 3 = x - x + 3 x - 3 = x ( x - 1) + 3( x - 1) = ( x - 1)( x + 3)
a) Với điểu kiện x ≥ 0; x ≠ 1 ta có: