(x+2)2-1=8
tìm x biết (-8+x^2)(-8+x^2)(-8+x^2)(-8+x^2)(-8+x^2)=1
Bài làm:
Ta có:
Pt <=> \(\left(-8+x^2\right)^5=1\)
\(\Rightarrow-8+x^2=1\)
\(\Leftrightarrow x^2=9\)
\(\Rightarrow\orbr{\begin{cases}x=3\\x=-3\end{cases}}\)
Vậy \(\orbr{\begin{cases}x=3\\x=-3\end{cases}}\)
dời trả lời nhanh z
định giúp bạn mink kiếm điểm ai ngờ...:))
\(\left(-8+x^2\right)\left(-8+x^2\right)\left(-8+x^2\right)\left(-8+x^2\right)\left(-8+x^2\right)=1\)
\(\Leftrightarrow-8+x^2=1\)
\(\Leftrightarrow x^2=9\)
\(\Rightarrow x=\pm3\)
Rút gọn 1) (x-2)^2 - (x+1) (x-1)
2)(3x-2) (3x+2)-(3x+1)^2
3)(x-8) (x+8)-(x+3)^2
4) (2x+y)^2 -2(4x^2-y^2)+(2x-y)^2
Bài 2 tìm x
a) (x+3)^2 - (x-2) (x+2)=8
b) (x-5)^2 - 9 =0
Bài 3 so sánh
A=(2+1) (2^2+1) (2^4+1) (2^8+1) và B = 2^16 .
1) 1/3 x 1/2 x 3/7 2) 5/4 x 1/3 + 1/7 3) 8 x ( 8/9-2/3 ) 4) 5/6 x 48/20 x 1/2 5) ( 2/5 + 3/4 ) x 8 6) 10 x ( 1/2-1/5 )
1) 1/3 x 1/2 x 3/7 = 1/6 x 3/7 = 1/14
2) 5/4 x 1/3 + 1/7 = 5/12 + 1/7 = 47/84
3) 8 x (8/9 - 2/3) = 8 x 2/9 = 16/9
4) 5/6 x 48/20 x 1/2 = 2 x 1/2 = 1
5) (2/5 + 3/4) x 8 = 23/20 x 8 = 46/5
6) 10 x (1/2 - 1/5) = 10 x 3/10 = 3
5,\(\dfrac{x^2-5x-4}{8}\)=\(\dfrac{x+1}{2}\)+\(\dfrac{x^2-10x}{9}\)
6,(x+3)(x-3)=(x-1)(9-x)
7,(x-1)\(^2\)=9(x^2+2x+1)
8,(x^2-5x+8)\(^2\)-(5x-17)\(^2\)
giup em voi a
5: \(\Leftrightarrow9\left(x^2-5x-4\right)=36\left(x+1\right)+8\left(x^2-10x\right)\)
\(\Leftrightarrow9x^2-45x-36-36x-36-8x^2+80x=0\)
\(\Leftrightarrow x^2-x-72=0\)
=>(x-9)(x+8)=0
=>x=9 hoặc x=-8
6: \(\Leftrightarrow x^2-9=9x-x^2-9+x\)
\(\Leftrightarrow2x^2-10x=0\)
=>2x(x-5)=0
=>x=0 hoặc x=5
5, <=> 9x^2 - 45x - 36 = 36x + 36 + 8x^2 - 80x
<=> x^2 - x - 72 = 0 <=> x = 9 ; x = -8
6, <=> x^2 - 9 = 9x - x^2 - 9 + x = 10x - x^2 - 9
<=> 2x^2 - 10x = 0 <=> x = 0 ; x = 5
7, <=> (x-1)^2 = (3x+3)^2
<=> (x-1-3x-3)(x-1+3x+3) = 0
<=> (-2x-4)(4x+2) = 0 <=> x = -2;x=-1/2
8, = (x^2-10x-15)(x^2-10x+25)
7/(8*x)+(5-x)/(4*x^2-8*x) = (x-1)/(2*x*(x-2))+1/(8*x-16)
7/(8*x)+(5-x)/(4*x^2-8*x) = (x-1)/(2*x*(x-2))+1/(8*x-16)
Giải các phương trình sau:
a, 2x- (5x-8)=14 b, (x+7)2= 4x2
c, 2x-8/6 - 3x+1/4= 9x-2/8+ 3x-1/12 d, x-1/x+1- x+1/x-1= 8/x2-1
e, 2x-8/6 - n3x+1/4 = 9x-2/8 +3x-1/3 f, 2/x+1 - 1/x-2= 3x-11/(x+1)*(x-2)
g, (x-4)(7x-3)- x2 +16=0 h, x2 +6x+9= 144
giúp tớ nhé!!
a, (x+8)^2 - 2(x+8)(x-2)+(x-2)^2
b, x(x-4)(x+4)-(x^2+1)(x^2-1)
c, (x+1)(x^2-x+1)-(x-1)(x^2+x+1)
a) \(\left(x+8\right)^2-2\left(x+8\right)\left(x-2\right)+\left(x-2\right)^2\)
\(=\left[\left(x+8\right)-\left(x-2\right)\right]^2\)
\(=\left(x+8-x+2\right)^2\)
\(=10^2\)
\(=100\)
Tính:
a) \((6{x^2} - 2x + 1):(3x - 1)\);
b) \((27{x^3} + {x^2} - x + 1):( - 2x + 1)\);
c) \((8{x^3} + 2{x^2} + x):(2{x^3} + x + 1)\);
d) \((3{x^4} + 8{x^3} - 2{x^2} + x + 1):(3x + 1)\)
Bài 1 : Nếu :
\(\left(-8+x^2\right)\left(-8+x^2\right)\left(-8+x^2\right)\left(-8+x^2\right)\left(-8+x^2\right)=1\) \(=1\)
Tìm x
(-8+x^2)^5=1
<=>-8+x^2=1
<=>x^2=9
<=>x=3 hoặc -3
Vậy x=3 hoặc -3
Ta có: \(\left(-8+x^2\right)\left(-8+x^2\right)\left(-8+x^2\right)\left(-8+x^2\right)\left(-8+x^2\right)=1\)
\(\Leftrightarrow\left(-8+x^2\right)^5=1\)
\(\Leftrightarrow x^2-8=\pm1\)
+ \(x^2-8=1\)\(\Leftrightarrow\)\(x^2=9\)\(\Leftrightarrow\)\(x=\pm3\)
+ \(x^2-8=-1\)\(\Leftrightarrow\)\(x^2=7\)\(\Leftrightarrow\)\(x=\pm\sqrt{7}\)
Vậy \(S=\left\{-3,-\sqrt{7},\sqrt{7},3\right\}\)