(3x-7)^2018 = (3x-7)^2016
a, (4x^2 - 2)^2 = 196/81
b, (2x-4)^2016 + | x^2-4 | = 0
c, (7 - 3x)^2020 = (3x - 7)^2018
d, (4x - 7)^2 -5|7 - 4x| = 0
Giúp mik vs!
a) \(\left(4x^2-2\right)^2=\frac{196}{81}\)
<=> \(2^2\left(2x^2-1\right)^2=\frac{196}{81}\)
<=> \(4\left(2x^2-1\right)^2=\frac{196}{81}\)
<=> \(\left(2x^2-1\right)^2=\frac{196}{81}:4\)
<=> \(\left(2x^2-1\right)^2=\frac{49}{81}\)
<=> \(2x^2-1=\pm\sqrt{\frac{49}{81}}\)
<=> \(2x^2-1=\pm\frac{7}{9}\)
<=> \(\orbr{\begin{cases}2x^2-1=\frac{7}{9}\\2x^2-1=-\frac{7}{9}\end{cases}}\)<=> \(\orbr{\begin{cases}x=\pm\frac{2\sqrt{2}}{3}\\x=\pm\frac{1}{3}\end{cases}}\)
=> \(\orbr{\begin{cases}x=\pm\frac{2\sqrt{2}}{3}\\x=\pm\frac{1}{3}\end{cases}}\)
Tìm x biết:
1) x (x-2016) + 2015 (2016-x) = 0
2) -5x (x-15) + (15-x) = 0
3) 3x (3x-7) - (7-3x) =0
1) x (x-2016) + 2015 (2016-x) = 0
x (x-2016) - 2015 (x- 2016) = 0
(x-2015)(x-2016) =0
\(\Rightarrow\orbr{\begin{cases}x-2015=0\\x-2016=0\end{cases}\Rightarrow\orbr{\begin{cases}x=2015\\x=2016\end{cases}}}\)
Vậy x= 2015; 2016
2) -5x (x-15) + (15-x) = 0
-5x (x-15) - (x-15) =0
(-5x -1) (x-15) =0
\(\Rightarrow\orbr{\begin{cases}-5x-1=0\\x-15=0\end{cases}\Rightarrow\orbr{\begin{cases}-5x=1\\x=15\end{cases}\Rightarrow}\orbr{\begin{cases}x=-\frac{1}{5}\\x=15\end{cases}}}\)
Vậy x= -1/5; 15
3) 3x (3x-7) - (7-3x) =0
3x(3x-7) + (3x -7) =0
(3x+1) (3x-7) =0
\(\Rightarrow\orbr{\begin{cases}3x+1=0\\3x-7=0\end{cases}\Rightarrow\orbr{\begin{cases}3x=-1\\3x=7\end{cases}\Rightarrow}\orbr{\begin{cases}x=-\frac{1}{3}\\x=\frac{7}{3}\end{cases}}}\)
Vậy x= -1/3 ; 7/3
Tìm x biết (3x+7)2015=(3x+7)2016
(3x+70^2015=(3x-7)^2016
Tìm x,biết
b) |3/4x-5|-2/3=|-1/4|
a) (3x-1) (-1/4 - 5x) (-2/7x + 3)=0
c)|-2/5 - 3x| - |-7/9 + 2x|=0
d) |-3/7x - 1| + |5+2/3x|=0
e)|3x-1|+|9x^2 - 1|=0
f) x+2/2018 + x+4/2016 = x+6/2014 - 1
Mọi người giải giúp e với ạ chiều e phải nộp r
ngu thế à bạn
cho f(x)=x^3-3x^2+3x+3 cm f(2018/2017)< f(2017/2016)
(-3x-15)2017(-20172016^2018^2019-20192018^-
2017^2016)=0
2016 : [ 25 - (3x +2) ] =3^ .7
2016 : \(\left[25-\left(3x+2\right)\right]=3^7\)
<=> 25 - (3x + 2) = 2016 : 2187
<=> 25 - 3x - 2 = \(\dfrac{224}{243}\)
<=> -3x = \(\dfrac{224}{243}\) + 2 - 25
<=> -3x = \(\dfrac{-5365}{243}\)
<=> x = 7,359396433 \(\approx\) 7,4
2016 : \(\left[25-\left(3x+2\right)\right]=3^2\)
<=> 25 - (3x + 2) = 2016 : 9
<=> 25 - 3x - 2 = 224
<=> -3x = 224 - 25 + 2
<=> -3x = 201
<=> x = \(\dfrac{201}{-3}=-67\)
/x+2016/ + / x+ 2017/+2018 =3x