a 3x+1 - 3x=162
b 65-4x+2=20210
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a) \(\left(3x+2\right)\left(3x+2\right)-\left(3x+1\right)^2=\left(3x+2\right)^2-\left(3x+1\right)^2=\left(3x+2-3x-1\right)\left(3x+2+3x+1\right)=1.\left(6x+3\right)=6x+3\)
b) \(\left(1-4x^2\right)\left(1+4x^2\right)-\left(2x+3\right)^2=1-16x^4-4x^2-12x-9=-16x^4-4x^2-12x-8\)
a: \(\left(3x+2\right)\left(3x+2\right)-\left(3x+1\right)^2\)
\(=9x^4+12x+4-9x^2-6x-1\)
=6x+3
b: \(\left(1-4x^2\right)\left(1+4x^2\right)-\left(2x+3\right)^2\)
\(=1-16x^4-4x^2-12x-9\)
\(=-16x^4-4x^2-12x-8\)
\(a,=12x^2-4x-6x-2-x-3=12x^2-11x-5\\ b,=12x^2-9x-12x^2-4x+5=5-13x\\ c,=12x^3-4x^2-12x^3-12x^2+7x-3=-16x^2+7x-3\\ d,=\left(x^2-4\right)\left(x^2+4\right)=x^4-16\)
a: 785+135-85+65
=785-85+135+65
=700+200
=900
b: \(32\cdot39+52\cdot21-12\cdot39+21\cdot48\)
\(=39\cdot32-12\cdot39+52\cdot21+21\cdot48\)
\(=39\left(32-12\right)+21\left(52+48\right)\)
\(=39\cdot20+21\cdot100=2100+780=2880\)
c: \(5^4\cdot5^8:5^9\cdot6\cdot8\cdot7\)
\(=\dfrac{5^{12}}{5^9}\cdot48\cdot7\)
\(=125\cdot48\cdot7=42000\)
d: \(2021^0-\left\{15^2:\left[175+\left(2^3\cdot5^2-6\cdot25\right)\right]\right\}\)
\(=1-\dfrac{225}{175+8\cdot25-150}\)
\(=1-\dfrac{225}{25+220}\)
=1-1
=0
a) 785 + 135 - 85 + 65 = 900
b) 32.39 + 52.21 - 12.39 + 21.48 = 93.69
c) 5 mũ 4.5 mũ 8 ÷ 5 mũ 9.6 ÷ 8.7 = 0.134
d) 2021 mũ 0 - { 15 mũ 2 : [ 175 + ( 2 mũ 3.5 mũ 2 - 6.25 ) ] } = 2021 mũ 0 - { 152 : [ 175 + 17.27 ] } = 20210 - { 152 : 192.27 } = 20210 - 0.791 = 20209.209
a) \(19.43+\left(-20\right).43-\left(-40\right)\)
\(=43.\left(19-20\right)+40\)
\(=-43+40\)
\(=-3\)
b) \(6^7:6^5+3.3^2-2021^0\)
\(=6^2+3^3-1\)
\(=36+27-1\)
\(=62\)
c) \(465+\left[\left(-38\right)+\left(-465\right)\right]-\left[12-\left(-42\right)\right]\)
\(=465-38+\left(-465\right)-12-42\)
\(=-92\)
a, \(\left(3x-x\right)^2\left(3x+1\right)\left(3x+1\right)=29\)
<=> \(4x^2\left(3x+1\right)^2=29\)
<=> \(4x^2;\left(3x+1\right)^2\inƯ\left(29\right)=\left\{\pm1;\pm29\right\}\)
4x^2 | 1 | -1 | 29 | -29 |
(3x+1)^2 | 29 | -29 | 1 | -1 |
x | 1/2 | ktm | \(\sqrt{\frac{29}{4}}\) | ktm |
x | \(\frac{\sqrt{29}-1}{3}\) | ktm | 0 | ktm |
b, Tương tự
b) ( 4x - 1 ) + ( 9 - 4x )( 3 + 4x ) = -8
<=> ( 4x - 1 ) + ( 27 + 24x - 16x2 ) = -8
<=> 4x - 1 + 27 + 24x - 16x2 = -8
<=> -16x2 + 28x + 26 = -8
<=> -16x2 + 28x + 26 + 8 = 0
<=> -16x2 + 28x + 34 = 0
<=> -2( 8x2 - 14x - 17 ) = 0
=> 8x2 - 14x - 17 = 0
\(\Delta'=b'^2-ac=\left(\frac{b}{2}\right)^2-ac=\left(\frac{-14}{2}\right)^2-\left(-17\right)\cdot8=185\)
\(\Delta'>0\)nên phương trình đã cho có hai nghiệm phân biệt :
\(x_1=\frac{-b'+\sqrt{\Delta'}}{a}=\frac{-\left(-7\right)+\sqrt{185}}{8}=\frac{7+\sqrt{185}}{8}\)
\(x_2=\frac{-b'-\sqrt{\Delta'}}{a}=\frac{-\left(-7\right)-\sqrt{185}}{8}=\frac{7-\sqrt{185}}{8}\)
Lớp 7 mà nghiệm xấu nhỉ ?
a) 52x - 3 - 2 . 52 = 52 . 3
x - 3/52 - 2 = 3
x = 3 + 2 + 3/52
x = 263/52
b) 740 / (x + 10) = 102 - 2 . 13
740 / (x + 10) = 76
x + 10 = 740 / 76
x + 10 = 185/19
x = 185/19 - 10
x = -5/19
c) 65 - 4x + 2 = 20140
65 - 4x = 20140 - 2
65 - 4x = 20138
4x = 65 - 20138
4x = -20073
x = -20073/4
d) 120 + 2 . (3x - 17) = 214
60 + 3 . x - 17 = 107
20 + x - 17/3 = 107/3
20 + x = 107/3 + 17/3
20 + x = 124/3
x = 124/3 - 20
x = 64/3
e) 41 - 2x + 1 = 9
42 - 2x = 9
21 - x = 9/2
x = 21 - 9/2
x = 33/2