a: x=15

c: \(\Leftrightarrow2x+1=3\)

hay x=1

a) \(\Rightarrow x=2021-2006=15\)

b) \(\Rightarrow2x-2016=64\Rightarrow2x=2016+64=2080\Rightarrow x=1040\)

c) \(\Rightarrow\left(2x+1\right)^3=81:3=27\Rightarrow2x+1=3\)

\(\Rightarrow2x=3-1=2\Rightarrow x=1\)

`a) x= 15`

`b) 2x-2016=16\(\times\)4`

`⇔ 2x-2016=64`

`⇔ 2x= 2080`

`⇔ x= 1040`

`c) 3(2x+1)^3 =81`

`⇔ (2x+1)^3 =27`

`⇔ (2x+1)^3 =3^3`

`⇔ 2x+1=3`

`⇔ x= 1`

\(\frac{2016^{26}+2016^{24}+...+2016^4+2016^2}{2016^{24}+2016^{22}+...+2016^2+1}\) \(=\frac{2016^2.\left(2016^{24}+2016^{22}+...+2016^2+1\right)}{2016^{24}+2016^{22}+...+2016^2+1}\)

\(=\frac{2016^2}{1}=2016^2\)

Sửa đề:

\((2x^2+x-2015)^2+4(x^2-5x-2016)^2=4(2x^2+x-2015)(x^2-5x-2016)\)

\(\Rightarrow\left(2x^2+x-2015\right)^2-2.\left(2x^2+x-2015\right).2.\left(x^2-5x-2016\right)+[2.\left(x^2-5x-2016\right)]^2=0\)

\(\Rightarrow[2x^2+x-2015-2.\left(x^2-5x-2016\right)]^2=0\)

\(\Rightarrow11x+2017=0\)

\(\Rightarrow x=\frac{-2017}{11}\)

a: =>3|2x-1|=40-13=27

=>|2x-1|=9

=>2x-1=9 hoặc 2x-1=-9

=>x=-4 hoặc x=5

b: =>(24-3x)(x-4)(x+4)=0

=>x-4=0; x+4=0; 3x-24=0

=>x=4; x=-4; x=8

c: =>\(3^{2x+4}-3^{2x+2}=648\)

=>\(3^{2x+2}\cdot8=648\)

=>2x+2=4

=>x=1

Đặt: \(\left\{{}\begin{matrix}a=2x^2+x-2016\\b=x^2-3x-1000\end{matrix}\right.\). Phương trình trở thành:

\(a^2+4b^2=4ab\)

\(\Leftrightarrow a^2-4ab+4b^2=0\)

\(\Leftrightarrow\left(a-2b\right)^2=0\Leftrightarrow a=2b\)

\(\Rightarrow2x^2+x-2016=2\left(x^2-3x-1000\right)\)

\(\Leftrightarrow7x=16\Leftrightarrow x=\dfrac{16}{7}\)

Vậy: \(x=\dfrac{16}{7}\)

\(\Leftrightarrow\left(2x^2+x-2017\right)^2-4\left(2x^2+x-2017\right)\left(x^2-5x-2016\right)+4\left(x^2-5x-2016\right)^2=0\)

\(\Leftrightarrow\left(2x^2+x-2017-2\left(x^2-5x-2016\right)\right)^2=0\)

\(\Leftrightarrow11x-6049=0\)

\(\Rightarrow x=\frac{6049}{11}\)

a, 3 - 2x = 3 . (5 - x) + 4

    3 - 2x = 15 - 3x + 4

    -2x + 3x = 15 + 4 - 3

    x = 16

b, 4 - (7x + 2017) = 6 . (5 - x) - 2017

    4 - 7x - 2017 = 30 - 6x - 2017

    -7x + 6x = 30 - 2017 - 4 + 2017

    -x = 26

    x = -26

c, 15 - x . (x + 1) = 4 - x^2 + 2x

    15 - x^2 - x = 4 - x^2 + 2x

    -x^2 - x + x^2 - 2x = 4 - 15

    -3x = -11

    x = 11/3

d, -4 . (x - 5) + 2016 = 3 . (8 - x) - (2x - 2016)

-4x + 20 + 2016 = 24 - 3x - 2x + 2016

-4x + 3x +2x = 24 + 2016 - 20 - 2016

x = 4

đúng 100%

\(2016\times105-2016\times4-2016\)

\(=2016\times\left(105-4-1\right)\)

\(=2016\times100\)

\(=201600\)

\(x\times24+x\times6=240\)

   \(x\times\left(24+6\right)=240\)

                 \(x\times30=240\)

                            \(x=240:30\)

                            \(x=8\)

\(x-167\times15=167\times185\)

        \(x-2505=30895\)

                        \(x=30895+2505\)

                        \(x=33400\)

\(173\times105+173\times96-173\)

\(=173\times\left(105+96-1\right)\)

\(=173\times200\)

\(=34600\)

1. 2016 x 105 - 2016 x 4 - 2016

= 211680 - 8064 - 2016

= 203616 - 2016

= 201600

2. X x 24 + X x 6 = 240

    X x (24 + 6) = 240

    X x 30 = 240

    X        = 240 : 30

    X        = 8

3. X - 167 x 15 = 167 x 185

    X - 2505 = 30895

    X           = 30895 - 2505

    X           = 28390

4. 173 x 105 + 173 x 96 - 173

= 18165 + 16608 - 173

= 34773 - 173

= 34600