(2x+3)^2=25
Giải giúp tớ nha
Tìm x biết:
a) x4-6x2+9=0
b) 8x3+12x2+6x-63=0
c) (3-2x)2-25=0
d) 6.(x+1)2-2.(x+1)3+2.(x-1).(x2+x+1)=1
e) (x-2)2-(x-2).(x+2)=0
f) x2-4x+4=25
Giải Giúp mình nha.Cảm ơn
a.
$x^4-6x^2+9=0$
$\Leftrightarrow (x^2-3)^2=0$
$\Leftrightarrow x^2-3=0$
$\Leftrightarrow x^2=3$
$\Leftrightarrow x=\pm \sqrt{3}$
b.
$8x^3+12x^2+6x-63=0$
$\Leftrightarrow (8x^2+12x^2+6x+1)-64=0$
$\Leftrightarrow (2x+1)^3=64=4^3$
$\Leftrightarrow 2x+1=4$
$\Leftrightarrow x=\frac{3}{2}$
c. $(3-2x)^2-25=0$
$\Leftrightarrow (3-2x)^2-5^2=0$
$\Leftrightarrow (3-2x-5)(3-2x+5)=0$
$\Leftrightarrow (-2-2x)(8-2x)=0$
$\Leftrightarrow -2-2x=0$ hoặc $8-2x=0$
$\Leftrightarrow x=-1$ hoặc $x=4$
d.
$6(x+1)^2-2(x+1)^3+2(x-1)(x^2+x+1)=1$
$\Leftrightarrow (x+1)^2[6-2(x+1)]+2(x^3-1)=1$
$\Leftrightarrow (x+1)^2(4-2x)+2x^3-3=0$
$\Leftrightarrow 6x+1=0$
$\Leftrightarrow x=\frac{-1}{6}$
e. $(x-2)^2-(x-2)(x+2)=0$
$\Leftrightarrow (x-2)[(x-2)-(x+2)]=0$
$\Leftrightarrow (x-2)(-4)=0$
$\Leftrightarrow x-2=0$
$\Leftrightarrow x=2$
f. $x^2-4x+4=25$
$\Leftrightarrow (x-2)^2=5^2=(-5)^2$
$\Leftrightarrow x-2=5$ hoặc $x-2=-5$
$\Leftrightarrow x=7$ hoặc $x=-3$
3^100-3^98 + 3^96 - 3^94+.....+3^2-1
Giúp tớ nha
Đặt A = 3100 - 398 + 396 - 394 + ...+ 32 - 1
=> 32.A = 3102 - 3100 + 398 - 396 + ...+ 34 - 32
=> 9.A + A = 3102 - 1
10.A = 3102 - 1
\(A=\frac{3^{102}-1}{10}\)
Tìm x biết:
d) 6.(x+1)2-2.(x+1)3+2.(x-1).(x2+x+1)=1
e) (x-2)2-(x-2).(x+2)=0
f) x2-4x+4=25
Giải chi tiết giúp mình nha.Cảm ơn nhiều.
\(6,\Rightarrow6x^2+12x+6-2x^3-6x^2-6x-2+2x^3-2=1\\ \Rightarrow6x=-1\Rightarrow x=-\dfrac{1}{6}\\ 7,\Rightarrow\left(x-2\right)\left(x-2-x-2\right)=0\\ \Rightarrow-4\left(x-2\right)=0\\ \Rightarrow x-2=0\Rightarrow x=2\\ 8,\Rightarrow\left(x-2\right)^2-25=0\\ \Rightarrow\left(x-2-5\right)\left(x-2+5\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=7\\x=-3\end{matrix}\right.\)
Tính
A, (x-y) (x^2+xy+y^2)+2y^3
B, 2x/3x-3y : x^2/x-y
C, (x-2)(3/x+2-5/2x-4+8/x^2-4)
Đ, (x-3)(2/x+3-3/2x-6+9/x^2-9)
Làm ơn giúp tớ với nhanh nhanh lên nha
Cảm ơn nhiều!!! :-)
\(A,\left(x-y\right)\left(x^2+xy+y^2\right)+2y^3=x^3-y^3+2y^3=x^3+y^3\)
\(B,\frac{2x}{3x-3y}:\frac{x^2}{x-y}=\frac{2x}{3.\left(x-y\right)}.\frac{x-y}{x^2}=\frac{2x\left(x-y\right)}{3x^2\left(x-y\right)}=\frac{2}{3x}\)
\(C,\left(x-2\right)\left(\frac{3}{x+2}-\frac{5}{2x-4}+\frac{8}{x^2-4}\right)=\left(x-2\right)\left(\frac{3}{x+2}-\frac{5}{2.\left(x-2\right)}+\frac{8}{\left(x+2\right)\left(x-2\right)}\right)\)
\(=\left(x-2\right).\frac{6.\left(x-2\right)-5.\left(x+2\right)+8.2}{2.\left(x+2\right)\left(x-2\right)}=\left(x-2\right).\frac{6x-12-5x-10+16}{2.\left(x+2\right)\left(x-2\right)}\)
\(=\frac{\left(x-2\right)\left(x-6\right)}{2.\left(x+2\right)\left(x-2\right)}=\frac{x-6}{2.\left(x+2\right)}\)
\(D,\left(x-3\right)\left(\frac{2}{x+3}-\frac{3}{2x-6}+\frac{9}{x^2-9}\right)=\left(x-3\right)\left(\frac{2}{x+3}-\frac{3}{2.\left(x-3\right)}+\frac{9}{\left(x+3\right)\left(x-3\right)}\right)\)
\(=\left(x-3\right).\frac{4\left(x-3\right)-3\left(x+3\right)+9.2}{2.\left(x+3\right)\left(x-3\right)}=\left(x-3\right).\frac{4x-12-3x-9+18}{2\left(x+3\right)\left(x-3\right)}\)
\(=\frac{\left(x-3\right)\left(x-3\right)}{2.\left(x+3\right)\left(x-3\right)}=\frac{x-3}{2.\left(x+3\right)}\)
Giải phương trình :
a, x^2 - 2x = 0
b, x^2 - 7x - 10 = 0
Giúp tớ với tớ đang cần gấp ạ~~
Thanks nhìu ạ~~
\(a,x^2-2x=0< =>x\left(x-2\right)=0< =>\orbr{\begin{cases}x=0\\x-2=0\end{cases}}< =>\orbr{\begin{cases}x=0\\x=2\end{cases}}\)
Vậy nghiệm của phương trình là.....
\(b,x^2-7x-10=0< =>x^2-2x-5x-10=0< =>x\left(x-2\right)-5\left(x+2\right)=0\)
bn xem lại đề câu b, chút
Tìm x biết
-45: 5.(-3-2x)=3
Giúp tớ với cần gấp
\(-45:5.\left(-3-2x\right)=3\)
\(\Leftrightarrow\left(-9\right).\left(-3\right)+\left(-9\right).\left(-2x\right)=3\)
\(\Leftrightarrow27+18x=3\)
\(\Leftrightarrow18x=-24\)
\(\Leftrightarrow x=-\frac{24}{18}=-\frac{4}{3}\)
Vậy \(x=-\frac{4}{3}\)
-45:5.(-3-2x)=3 5.(-3-2x)= -45:3 5.(-3-2x)= -15 -3-2x= -15:5 -3-2x= -3 2x= (-3)-(-3) 2x= 0 x=0:2
-9.(-3-2x)=3
-3-2x=-9:3=-3
2x=-3+3=0
x=0:2=0
VẬY x=0
giúp tớ với nhanh lên nha
a) is drinking
b) went
c) sit
d) watches
e) played
f) catch
g) has
h) get - read
I) are
j) didn't listen
a.is drinking
b.went
c.sit
d.watches
e.played
f.catch
g.is having
h.get/are reading
i.are
j.didn't listen
is drinking
went
sit
watches
played
catch
is having
get - are reading
are
didn't listen
Giúp tớ với ~~
a, x^2 < 1
b , 2x + 5 nhỏ hơn hoặc bằng 7
a) x2 < 1 nên IxI < 1 <=> -1 < x < 1
b) \(2x+5\le7\)nên 2x\(\le2\)=> x\(\le1\)
a, Vì x2\(\ge\)0 với mọi x
Theo đề bài x2<1 => không có giá x thỏa mãn
b, 2x+5\(\le\)7
=>2x\(\le\)2
=>x\(\le\)1
Giải hệ phương trình: \(\hept{\begin{cases}y^3-3y^2-6x+2=\frac{\sqrt{y^3+6x+10}-\sqrt{2y^3-3y^2}}{x^2+2x+2016}\\\sqrt{2x^2-xy+x=3y-2x-3}\end{cases}}\)
Giúp tớ với nhé =))