1, (X+1/2)^2=4/25
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\(\left(\dfrac{1}{2}\right)^{100}:2^{-10}.2^5\\ =\left(\dfrac{1}{2}\right)^{100}.2^{10}.2^5\\ =\dfrac{1}{2^{100}}.2^{15}\\ =\dfrac{2^{15}}{2^{100}}\\ =\dfrac{1}{2^{85}}\)
\(Hello\) \(FDC\) \(nha!\)
=\(\left(\dfrac{1}{2}\right)^{100}:2^{-5}\)
= \(\left\{\left(\dfrac{1}{2}\right)^4\right\}^{50}.2^5\)
= 2\(^{50}.2^5\)
=2\(^{55}\)
\(\dfrac{x+1}{x-1}+\dfrac{x-2}{x+2}+\dfrac{x-3}{x+3}+\dfrac{x+4}{x-4}=0\)
\(\Leftrightarrow\left(x+1\right)\left(x+2\right)\left(x+3\right)\left(x-4\right)+\left(x-2\right)\left(x-1\right)\left(x+3\right)\left(x-4\right)+\left(x-3\right)\left(x-1\right)\left(x+2\right)\left(x-4\right)+\left(x+4\right)\left(x-1\right)\left(x+2\right)\left(x+3\right)=0\)
\(\Leftrightarrow4x^4+20x-96=0\)
\(\Leftrightarrow4\left(x^4+5x-24\right)=0\)
\(\Leftrightarrow x^4+5x-24=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-2,45...\\x=1,94...\end{matrix}\right.\)
Vậy: \(S=\left\{-2,45...;1,94...\right\}\)
\(\left(8x-4x^2-1\right)\left(x^2+2x-1\right)=4\left(x^2+x+1\right)\)
\(11x^2+6x-4x^4-1=4x^2+4x+4\)
\(11x^2+6x-4x^4-4x^2-4x-4=0\)
\(7x^2+2x-4x^4-5=0\)
\(\left(x-1\right)\left(x-1\right)\left(-4x^2-8x-5\right)=0\)
bn lm nốt nha , ko có dấu hoặc nên mk làm đến đây thôi
Cảm ơn nha ! Nhưng sao mình ko ấn đúng cho bạn được !? hic
Vậy xét là \(\frac{1}{2}+1\)nhé.
a,\(\frac{3}{2}x\frac{4}{3}x\frac{5}{4}x...x\frac{1000}{999}\)
=3x4x5x...x1000/2x3x4x...x999
=1000/2=500
b, c tương tự câu a
)(1/2+1)x(1/3+1)x(1/4+1)x...x(1/999+1)
b)(1/2-1)x(1/3-1)x(1/4-1)x...x(1/1000-1)
c)3/22 x 8/32 x 15/42 x .... x 99/102
mình ko biết làm chép lại de thui
(1/2 + 1/3 + 1/4 +........+1/10 ) x X = 1/9 + 2/8 + .....+ 8/2 + 9/1
( 1/2 + 1/3 + 1/4 + ... + 1/10 ) x X = 1 + ( 1/9 + 1 ) + ( 2/8 + 1 ) + ... + ( 8/2 + 1 )
( 1/2 + 1/3 + 1/4 + ... + 1/10 ) x X = 10/10 + 10/9 + 10/8 + ... + 10/2
( 1/2 + 1/3 + 1/4 + ... + 1/10 ) x X = 10 . ( 1/10 + 1/9 + 1/8 + ... + 1/2 )
X = \(\frac{10.\left(\frac{1}{10}+\frac{1}{9}+\frac{1}{8}+...+\frac{1}{2}\right)}{\frac{1}{2}+\frac{1}{3}+...+\frac{1}{9}+\frac{1}{10}}\)
X = 10
+Hình như B con thiếu 1/1 phải ko?
B=1/1+1/2+1/3+1/4+...+1/9
A=9/1+8/2+7/3+...+1/9=9+8/2+7/3+...+1/9
=1+(1/9+1)+(2/8+1)+(3/7+1)+....+(8/2+1)
=10/10+10/9+10/8+...+10/2=10(1/10+1/9+....
Vậy A=10B.Suy ra A:B=10
+Nếu mà không thiếu thì dùng máy tính FX500MS,ES,phần mềm..v..v ta sẽ có
A=4861/252
B=4609/2520
A/B=48610/4609
nếu B ko thiếu 1/1 thì mk chịu
Nguyễn Trà My
Phần a)
\(3\times\left(\frac{1}{2}-x\right)+\frac{1}{3}=\frac{7}{6}-x\)
\(32-3x+13=76-x\)
\(116-3x=76-x\)
\(116-76=3x-x\)
\(46=2x\)
\(x=46\div2\)
\(x=13\)
\(\left(x+\frac{1}{2}\right)^2=\frac{4}{25}\)
\(\left(x+\frac{1}{2}\right)^2=\left(\pm\frac{2}{5}\right)^2\)
\(x+\frac{1}{2}=\pm\frac{2}{5}\)
TH1:
\(x+\frac{1}{2}=\frac{2}{5}\)
\(x=\frac{2}{5}-\frac{1}{2}\)
\(x=\frac{4}{10}-\frac{5}{10}\)
\(x=-\frac{1}{10}\)
TH2:
\(x+\frac{1}{2}=-\frac{2}{5}\)
\(x=-\frac{2}{5}-\frac{1}{2}\)
\(x=-\frac{4}{10}-\frac{5}{10}\)
\(x=-\frac{9}{10}\)
Vậy \(x=-\frac{1}{10}\) hoặc \(x=-\frac{9}{10}\)