Tìm x
100 : [2 . (x + 5) - 12] = -5
𝑥−(28−𝑥)=−56−73+105
56 - 6(x - 2)^3 = 440
2^x + 2^x+3 = 72
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\(x+\dfrac{4}{5}\times\dfrac{3}{8}=\dfrac{3}{2}\)
\(x+\dfrac{3}{10}=\dfrac{3}{2}\)
\(x=\dfrac{3}{2}-\dfrac{3}{10}\)
\(x=\dfrac{12}{10}=\dfrac{6}{5}\)
1: \(\dfrac{x^3-11x^2+27x-9}{x-3}\)
\(=\dfrac{x^3-3x^2-8x^2+24x+3x-9}{x-3}\)
\(=x^2-8x+3\)
2: \(\dfrac{-3x^3+5x^2-9x+15}{-3x+5}\)
\(=\dfrac{3x^3-5x^2+9x-15}{3x-5}\)
\(=x^2+3\)
Bài 1:
a. $x(x^2-5)=x^3-5x$
b. $3xy(x^2-2x^2y+3)=3x^3y-6x^3y^2+9xy$
c. $(2x-6)(3x+6)=6x^2+12x-18x-36=6x^2-6x-36$
d.
$(x+3y)(x^2-xy)=x^3-x^2y+3x^2y-3xy^2=x^3+2x^2y-3xy^2$
Bài 2:
a.
\((2x+5)(2x-5)=(2x)^2-5^2=4x^2-25\)
b.
\((x-3)^2=x^2-6x+9\)
c.
\((4+3x)^2=9x^2+24x+16\)
d.
\((x-2y)^3=x^3-6x^2y+12xy^2-8y^3\)
e.
\((5x+3y)^3=(5x)^3+3.(5x)^2.3y+3.5x(3y)^2+(3y)^3\)
\(=125x^3+225x^2y+135xy^2+27y^3\)
f.
\((5-x)(25+5x+x^2)=5^3-x^3=125-x^3\)
\(1,\Leftrightarrow7x=42\Leftrightarrow x=6\\ 2,\Leftrightarrow36-4x=4\Leftrightarrow4x=32\Leftrightarrow x=8\\ 3,\Leftrightarrow3x=35\Leftrightarrow x=\dfrac{35}{3}\\ 4,\Leftrightarrow x-12=144\Leftrightarrow x=156\\ 5,\Leftrightarrow x-14=16\Leftrightarrow x=30\\ 6,\Leftrightarrow3x-24=\dfrac{148}{73}\Leftrightarrow3x=\dfrac{1900}{73}\Leftrightarrow x=\dfrac{1900}{219}\\ 7,\Leftrightarrow33+x=45\Leftrightarrow x=12\\ 8,Sai.đề\\ 9,\Leftrightarrow\left(x+9\right):2=39\Leftrightarrow x+9=78\Leftrightarrow x=69\\ 11,\Leftrightarrow2\left(x+7\right)=38\Leftrightarrow x+7=19\Leftrightarrow x=12\\ 13,\Leftrightarrow2\left(x-51\right)=66\Leftrightarrow x-51=33\Leftrightarrow x=84\)
\(15,\Leftrightarrow x-19=9\Leftrightarrow x=28\\ 17,\Leftrightarrow\left(x-3\right):2=48\Leftrightarrow x-3=96\Leftrightarrow x=99\\ 19,\Leftrightarrow0x=46\Leftrightarrow x\in\varnothing\\ 8,Sai.đề\\ 14,\Leftrightarrow2x=209\Leftrightarrow x=\dfrac{209}{2}\\ 16,\Leftrightarrow2x+6=157\Leftrightarrow2x=151\Leftrightarrow x=\dfrac{151}{2}\\ 18,\Leftrightarrow5\left(x+4\right)=100\Leftrightarrow x+4=20\Leftrightarrow x=16\\ 20,\Leftrightarrow\left(3x-5\right)^3=27=3^3\Leftrightarrow3x-5=3\Leftrightarrow x=\dfrac{8}{3}\)
\(1,\\ a,=x^3-5x\\ b,=3x^3y-6x^3y^2+9xy\\ c,=6x^2-6x-36\\ d,=x^3+2x^2y-3xy^2\\ 2,\\ a,=4x^2-25\\ b,=x^2-6x+9\\ c,=9x^2+24x+16\\ d,=x^3-6x^2y+12xy^2-8y^3\\ e,=125x^3+225x^2y+135xy^2+27y^3\\ f,=125-x^3\)
\(g,=8y^3+x^3\\ 3,\\ a,=x\left(x+2\right)\\ b,=\left(x-3\right)^2\\ c,=\left(x-y\right)\left(y+5\right)\\ d,=2x\left(y+1\right)-y\left(y+1\right)=\left(2x-y\right)\left(y+1\right)\\ e,=6x^2y^2\left(xy^2+2y-3x\right)\)
a) Xem lại đề.
b) 5. (x - 3)2 + 17 = 142
5. (x - 3)2 = 142 - 17
5. (x - 3)2 = 125
(x - 3)2 = 125 : 5
(x - 3)2 = 25
(x - 3)2 = 52 (cùng số mũ)
⇒ x - 3 = 5
x = 5 + 3 = 8
c) [(6x - 72) : 2 - 84] . 28 = 5628
[(6x - 72) : 2 - 84] = 5628 : 28
[(6x - 72) : 2 - 84] = 201
(6x - 72) : 2 = 201 + 84
(6x - 72) : 2 = 285
6x - 72 = 285. 2
6x - 72 = 570
6x = 570 + 72
6x = 642
x = 642 : 6
x = 107
\(a,\Rightarrow2\left(x+5\right)-12=-20\\ \Rightarrow2\left(x+5\right)=-8\\ \Rightarrow x+5=-4\Rightarrow x=-9\\ b,\Rightarrow x-28+x=-24\\ \Rightarrow2x=4\Rightarrow x=2\\ c,\Rightarrow6\left(x-2\right)^3=-384\\ \Rightarrow\left(x-2\right)^3=-64=\left(-4\right)^3\\ \Rightarrow x-2=-4\Rightarrow x=-2\\ d,\Rightarrow2^x\left(1+2^3\right)=72\\ \Rightarrow2^x\cdot9=72\\ \Rightarrow2^x=8=2^3\Rightarrow x=3\)
a,⇒2(x+5)−12=−20⇒2(x+5)=−8⇒x+5=−4⇒x=−9b,⇒x−28+x=−24⇒2x=4⇒x=2c,⇒6(x−2)3=−384⇒(x−2)3=−64=(−4)3⇒x−2=−4⇒x=−2d,⇒2x(1+23)=72⇒2x⋅9=72⇒2x=8=23⇒x=3a,⇒2(x+5)−12=−20⇒2(x+5)=−8⇒x+5=−4⇒x=−9b,⇒x−28+x=−24⇒2x=4⇒x=2c,⇒6(x−2)3=−384⇒(x−2)3=−64=(−4)3⇒x−2=−4⇒x=−2d,⇒2x(1+23)=72⇒2x⋅9=72⇒2x=8=23⇒x=3