2x+ 2x+1 +2x+2 +...+2x+2015= 22019-8 trinh bay va cach lam ro rang toi se tich nhe
Tim x biet :
a, |2x+1|-x=5
b, |x-10|10+|x-11|10=1
Trinh bay cach lam ro rang cho minh nhe
Chieu phai nap roi
Ai trinh bay ro rang nhat minh se tick
\(\left|2x+1\right|-x=5\)
\(\Rightarrow2x+1-x=5\)
\(\Rightarrow x+1=5\)
\(\Rightarrow x=5-1\)
\(\Rightarrow x=4\)
(x+1).(xy-2)=11
xy-7x+y=-22
xy-3x+y=-20
xy-5y-2x=-41
lam ca cach trinh bay giup mk nhe
mk se tich dung cho
Tim x biet:
(2x-1)5=(2x-1)7
Trinh bay cach lam nua nhe
Tim x biet:
(2x-1)5=(2x-1)7
Trinh bay cach lam nua nhe
17x+3(-16x-37)=2x+43-4x
{-3x+2[45-x-3(3x+7)-2x]+4x}=55
103-57:[-2.(2x-1)2-(-9)0]=-106
lam ca cach trinh bay giup mk nhe
mk se tich dung cho
Bài 1:
a, -2x+3.{12-2[3x-(20+2x)-4x]+1}=45
b,3x-32>-5x+1
c,15+4x<2x-145
d, x+(x+1)+(x+2)+(x+3)+.....+13+14=14
lam ca cach trinh bay giup mk nhe
mk se tich dung cho
2x+2x+1+2x+2+...+2x+2015=22019- 8
\(2VT=2^{x+1}+2^{x+2}+2^{x+3}+...+...+2^{x+2016}\)
\(VT=2VT-VT=2^{x+2016}-2^x=2^{2016}.2^x+2^x=2^x\left(2^{2016}+1\right)\)
\(VP=2^{2019}-2^3=2^3\left(2^{2016}-1\right)\)
\(\Rightarrow2^2\left(2^{2016}-1\right)=2^3\left(2^{2016}-1\right)\)
\(\Rightarrow2^x=2^3\Rightarrow x=3\)
\(2^x+2^{x+1}+2^{x+2}+2^{x+2015}=2^{2019}-8\left(1\right)\)
Đặt \(S=2^x+2^{x+1}+2^{x+2}+2^{x+2015}\)
\(\Rightarrow S+\left(1+2^2+...2^{x-1}\right)=\left(1+2^2+...2^{x-1}\right)+2^x+2^{x+1}+2^{x+2}+2^{x+2015}\)
\(\Rightarrow S+\dfrac{2^{x-1+1}-1}{2-1}=1+2^2+...2^{x-1}+2^x+2^{x+1}+2^{x+2}+2^{x+2015}\)
\(\Rightarrow S+2^x-1=\dfrac{2^{x+2015+1}-1}{2-1}\)
\(\Rightarrow S+2^x-1=2^{x+2016}-1\)
\(\Rightarrow S=2^{x+2016}-2^x\)
\(\left(1\right)\Rightarrow2^{x+2016}-2^x=2^{2019}-8=2^{2019}-2^3\)
\(\Rightarrow2^x\left(2^{2016}-1\right)=2^3\left(2^{2016}-1\right)\)
\(\Rightarrow2^x=2^3\Rightarrow x=3\)
Tim x biet:
(2x-1)5=(2x-1)7
Tim cac so nguyen to x , y thoa man:
(x-2)2.(y-3)2=4
trinh bay cach lam nhe
(2x-1)5=(2x-1)7
=>x=0;1;\(\frac{1}{2}\)
(x-2)2.(y-3)2=4
phân tích rồi kẻ bảng ra
tim gia tri cua m,biet rang 1 trong 2 phuong trinh sau day nhan x=-1 lam nghiem,phuong trinh con lai nhan x=5 lam nghiem : (1-x)(x^2+1)=0 va (2x^2+7)(8-mx)=0
(1-x)(x^2+1)=0 chắc chắn sẽ không nhận x=-1 hoặc x=5 làm nghiệm rồi
(2x^2+7)(8-mx)=0
=>8-mx=0
Nếu 8-mx=0 nhận x=-1 làm nghiệm thì m+8=0
=>m=-8
Nếu 8-mx=0 nhận x=5 làm nghiệm thì 8-5m=0
=>m=8/5