Tìm x:
a,3x(x-2)5+19=115
b,5x3x+1+1-45=90
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\(3.\left(x-2\right)^5+19=115\)
\(3.\left(x-2\right)^5=96\)
\(\left(x-2\right)^5=32\)
\(\left(x-2\right)^5=2^5\)
\(\Rightarrow x-2=2\)
\(\Rightarrow x=4\)
vậy \(x=4\)
b) \(5.3^{x+1}-45=90\)
\(5.3^{x+1}=90+45\)
\(5.3^{x+1}=135\)
\(3^{x+1}=27\)
\(3^{x+1}=3^3\)
\(\Rightarrow x+1=3\)
\(\Rightarrow x=2\)
vậy \(x=2\)
a, 3(x-2)5 + 19=115
3(x-2)5=115-19
3(x-2)5=96
(x-2)5=96:3
(x-2)5=32
\(\Rightarrow\)(x-2)5=25 mà số mũ 5 > 1
\(\Rightarrow\)x-2=2
x=2+2
x=4
Vậy x=4
b, 5.3x+1-45=90
5.3x+1=90-45
5.3x+1=45
3x+1=45:5
3x+1=9 mà 9=33
\(\Rightarrow\)3x+1=33 mà cơ số 3 > 1
\(\Rightarrow\)x+1=3
x=3-1
x=2
Vậy x=2.
\((3\sqrt{20}-2\sqrt{80}+\frac{2}{3}\sqrt{45}-\sqrt{5}):\sqrt{5}\)
\(=\left(3\sqrt{2^2.5}-2\sqrt{4^2.5}+\frac{2}{3}\sqrt{3^2.5}-\sqrt{5}\right):\sqrt{5}\)
\(=\left(3.2\sqrt{5}-2.4\sqrt{5}+\frac{2}{3}.3\sqrt{5}\right):\sqrt{5}\)
\(=\left(6\sqrt{5}-8\sqrt{5}+2\sqrt{5}-\sqrt{5}\right):\sqrt{5}\)
\(=-\sqrt{5}:\sqrt{5}=-1\)
\(\left(\frac{2+\sqrt{5}}{2-\sqrt{5}}-\frac{2-\sqrt{5}}{2+\sqrt{5}}\right).\frac{5-\sqrt{5}}{1-\sqrt{5}}\)
\(=\left(\frac{\left(2+\sqrt{5}\right)^2}{\left(2-\sqrt{5}\right)\left(2+\sqrt{5}\right)}-\frac{\left(2-\sqrt{5}\right)^2}{\left(2-\sqrt{5}\right)\left(2+\sqrt{5}\right)}\right).\frac{\sqrt{5}\left(\sqrt{5}-1\right)}{1-\sqrt{5}}\)
\(=\left(\frac{4+4\sqrt{5}+5-\left(4-4\sqrt{5}+5\right)}{4-5}\right).\frac{-\sqrt{5}\left(1-\sqrt{5}\right)}{1-\sqrt{5}}\)
\(=\frac{9+4\sqrt{5}-9+4\sqrt{5}}{-1}.\left(-\sqrt{5}\right)\)
\(-8\sqrt{5}.\left(-\sqrt{5}\right)=40\)
a ) 10 x X - 1 - 3 - 5 - 7 - ... - 19 = 2 + 4 + 6 + ... + 20
10 x X - 1 - 3 - 5 - 7 - ... - 19 = 110
10 x X - ( 1 + 3 + 5 + 7 + ... + 19 ) = 110
10 x X - 100 = 110
10 x X = 110 + 100
10 x X = 210
X = 210 : 10
X = 21
1: Ta có: \(\left(x+3\right)^2-\left(x+2\right)\left(x-2\right)=4x+17\)
\(\Leftrightarrow x^2+6x+9-x^2+4-4x=17\)
\(\Leftrightarrow x=2\)
3: Ta có: \(\left(2x+3\right)\left(x-1\right)+\left(2x-3\right)\left(1-x\right)=0\)
\(\Leftrightarrow2x^2-2x+3x-3+2x-2x^2-3+3x=0\)
\(\Leftrightarrow6x=6\)
hay x=1
sorry toán lớp 6