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a) x(2x+1)-x2(x+2)+(x3-x+3)= 2x2+x-x3-2x2+x3-x+3= 3
b)x (3x2-x+5)-(2x3+3x-16)-x(x2-x+2)= 3x3-x2+5x-2x3-3x+16-x3+x2-2x= 16
\(a,n^2=\frac{1}{16}\)
\(n^2=\left(\frac{1}{4}\right)^2\)
\(n=\left|\frac{1}{4}\right|\)
=>\(n=\frac{1}{4}\)hoặc \(n=-\frac{1}{4}\)
\(b,n^3.n^2=\frac{32}{243}\)
\(n^5=\frac{32}{243}\)
\(n^5=\left(\frac{2}{3}\right)^5\)
\(n=\frac{2}{3}\)
\(c,\left(x^2\right)^2=\frac{81}{16}\)
\(x^4=\left(\frac{3}{2}\right)^4\)
=>\(x=\left|\frac{3}{2}\right|\)
\(x=\frac{3}{2}\)hoặc \(x=-\frac{3}{2}\)
Sửa đề: \(x_2=-4;y_1=-10;3x_1-2y_2=32\)
x,y tỉ lệ nghịch nên \(x_1\cdot y_1=x_2\cdot y_2\)
=>\(\dfrac{x_1}{x_2}=\dfrac{y_2}{y_1}\)
=>\(\dfrac{x_1}{-4}=\dfrac{y_2}{-10}\)
mà \(3x_1-2y_2=32\)
nên Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{x_1}{-4}=\dfrac{y_2}{-10}=\dfrac{3x_1-2y_2}{3\cdot\left(-4\right)-2\cdot\left(-10\right)}=\dfrac{32}{8}=4\)
=>\(x_1=-4\cdot4=-16;y_2=-10\cdot4=-40\)
=>Chọn D
b: 1/2x-4=0
=>1/2x=4
hay x=8
a: x+7=0
=>x=-7
e: 4x2-81=0
=>(2x-9)(2x+9)=0
=>x=9/2 hoặc x=-9/2
g: x2-9x=0
=>x(x-9)=0
=>x=0 hoặc x=9
a: x+7=0
nên x=-7
b: x-4=0
nên x=4
c: -8x+20=0
=>-8x=-20
hay x=5/2
d: x2-100=0
=>(x-10)(x+10)=0
=>x=10 hoặc x=-10
a, \(x^2=\dfrac{1}{16}\Rightarrow x=\pm\dfrac{1}{4}\)
b, \(x^5:x^2=-\dfrac{1}{64}\Rightarrow x^3=\left(-\dfrac{1}{4}\right)^3\Rightarrow x=-\dfrac{1}{4}\)
c, \(x^3:x^2=\dfrac{32}{243}\Rightarrow x=\dfrac{32}{243}\)
d, \(\left(x^2\right)^2=\dfrac{81}{16}\Rightarrow x^4=\left(\dfrac{3}{2}\right)^4\Rightarrow x=\pm\dfrac{3}{2}\)
Chúc bạn học tốt!!!
3) Tìm x
a) \(^{x^2}\)=\(\dfrac{1}{16}\)
<=> x = \(\sqrt{-\dfrac{1}{16}}\)
\(\sqrt{\dfrac{1}{16}}\)
<=> x = -14
+14
b) \(x^{5^{ }}\): \(x^2\) = \(-\dfrac{1}{64}\)
<=> \(^{x^{5-2}}\) =\(-\dfrac{1}{64}\)
<=> \(x^3\) = \(-\dfrac{1}{64}\)
<=> x = \(-\dfrac{1}{4}\)
c)\(x^3:x^2\) = \(\dfrac{32}{243}\)
<=> \(^{x^{3-2}}\) = \(\dfrac{32}{243}\)
<=> x = \(\dfrac{32}{243}\)
d) \((x^2)^2\) = \(\dfrac{81}{16}\)
<=>\(^{x^{2.2}}\) = \(\dfrac{81}{16}\)
<=> \(x^4\) = \(\dfrac{81}{16}\)
<=> x = \(\dfrac{3}{2}\)
\(-\dfrac{3}{2}\)
a: A=x^5-32
Khi x=3 thì A=3^5-32=243-32=211
b: B=x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+x^7-x^6+x^5-x^4+x^3-x^2+x-1
=x^8-1
=2^8-1=255
21:
a: \(f\left(x\right)=4x^4-x^3-4x^2+x-1\)
\(g\left(x\right)=x^4+4x^3+x-5\)
b: f(x)-g(x)
=4x^4-x^3-4x^2+x-1-x^4-4x^3-x+5
=3x^4-5x^3-4x^2+4
f(x)+g(x)
=4x^4-x^3-4x^2+x-1+x^4+4x^3+x-5
=5x^4+3x^3-4x^2+2x-6
c: g(-1)=1-4-1-5=-9
\(8;a,3^2.\frac{1}{243}.81^2.\frac{1}{3^3}\)
\(=\frac{3^2.\left(3^4\right)^2}{243.3^3}\)
\(=\frac{3^2.3^8}{3^5.3^3}\)
\(=\frac{3^{10}}{3^8}=3^2=9\)
\(b,\frac{4.2^5}{2^3.\frac{1}{16}}\)
\(=\frac{2^2.2^5}{2^3.\frac{1}{2^4}}\)
\(=\frac{2^7}{\frac{1}{2}}=2^7.2=2^8\)
a, \(3^2.\frac{1}{243}.81^2.\frac{1}{3}^3\)
\(=3^2.\frac{1}{243}.\left(3^4\right)^2.\frac{1}{27}\)
\(=3^2.\frac{1}{243}.3^8.\frac{1}{27}\)
\(=\frac{3^2.3^8}{243.27}\)
\(=\frac{3^2.3^8}{3^5.3^3}\)
\(=\frac{3^{10}}{3^8}=3^2=9\)
b, \(\left(4.2^5\right):\left(2^3.\frac{1}{16}\right)\)
\(=\left(2^2.2^5\right):\left(8.\frac{1}{16}\right)\)
\(=2^7:\frac{1}{2}\)
\(=2^8\)
\(x^2=\frac{1}{16}=\left(\frac{1}{4}\right)^1=\left(-\frac{1}{4}\right)^2\)
Vậy có 2 ngiệm x
TH1: \(x=\frac{1}{4}\)
TH2: \(x=-\frac{1}{4}\)
x2=1/16
=>x=1/4; x=-1/4
x5=(2/3)5
=>x=2/3
x4=(3/2)4
=>x=3/2; x=-3/2