Cau nay co trong Violympic 7 vong 2 2016 - 2017
Giup mk nka m.ng
Tim x thoa man \(\frac{6}{5}< \frac{x-3}{2}< \frac{12}{5}\)
Cau 1; cho\(\frac{x}{2}=\frac{y}{5}\)vaxy=90. So cap (x;y) thoa man la
Cau 2 : Cho a+d=b+c va \(a^2+d^2=b^2+c^2\)(b,d khac 0).Khi do 4 so lap thanh ti le thuc nao
Cau 3 :GTLN cua phan so \(\frac{7n-8}{2n-3}\)
Cau 4: Cho A=\(\frac{12}{x-15}\) dieu kien de 0<A<1 va A>1
Cau 5 ; tim x biet /-x-5//x=5=10
Cau 6: tap hop cac so nguyen cua x thoa man (3x^2-51)^2014=(-24)^2014
Cau 7: tap hop cac so thoa man /x-y/+/y+9/25/=0
c1: Tap hop cac gia tri nguyen cua x thoa man \(\left(x+\frac{5}{4}\right)\left(x-\frac{19}{7}\right)\)<0
c2: Neu x,y la cac so nguyen thoa man 2xy+4y=6 thi y co the nhan nhung gia tri nam trong tap hop nao
c3: tim 3 so x,y,z biet x+y=8,x+z=10,y+z=12
C4: Gia tri cua x thoa man (x+3)^2=25 va x^3>0 la x=
Câu 1:
x + 5/4 = 0 => x = -5/4
x - 19/7 = 0 => x = 19/7
Lập bảng:
P/s: Edogawa Conan: Cái bảng của bạn cho mình cop nha! Thanks! Tí mik trả bạn 1 ! OK?
x | -5/4 19/7 |
x + 5/4 | - 0 + / + |
x - 19/7 | - / - 0 + |
( x + 5/4 ) ( x - 19/7 ) | + 0 - 0 + |
Suy ra -5/4 < x < 19/7
Hay -1,25 < x < 2,(714285)
Mặt khác x thuộc Z nên x = -1, 0, 1, 2
Câu 2:
2xy + 4y = 6
2 (xy + 2y) = 6
=> xy + 2y = 6 / 2 = 3
=> xy + 2y = 3
=> y (x + 2) = 3
Từ đó lập bảng phân tích 3 = 1 . 3 = (-1) . (-3)
Mik khỏi lập bảng!
Từ bảng trên ta có y = {-3; -1; 1; 3}
Câu 3:
x + y = 8, x + z = 10, y + z = 12
=> (x + y) + (x + z) + (y + z) = 8 + 10 + 12 = 30
=> 2(x + y + z) = 30
=> x + y + z = 15
Đến đây thì dễ rồi! ^^
Câu 4:
(x + 3) = +5 Hoặc -5
Nhưng đề hỏi là x^3 > 0 = .....
Nên ta chọn (x + 3) = 5 (tại nếu chọn x + 3 = -5 thì x sẽ < 0 dẫn đến x^3 < 0
Ta có x + 3 = 5
Từ đó có x = 8
Đến đây thì dễ dàng tính ra x^3 bằng mấy và thỏa mãn x > 0....
* ♥ * Xong! * ♫ *
* ♥ * nha! * ♫ *
C1: Lập bảng xét dấu tích:
x + 5/4 = 0 => x = -5/4
x - 19/7 = 0 => x = 19/7
Ta có:
x | -5/4 19/7 |
x + 5/4 | - 0 + / + |
x - 19/7 | - / - 0 + |
( x + 5/4 ) ( x - 19/7 ) | + 0 - 0 + |
Vậy -5/4 < x < 19/7
C3: (x+y)+(x+z)+(y+z)=8+10+12
=> 2(x+y+z)=30
=> x+y+z=15
=> x=15-12=3
y=15-10=5
z=15-8=7
a)2.|x|=|8|+|-6|
b. 2.x-|x|=12
c) \(\left(\frac{3}{4}\right)^5.x=\left(\frac{3}{7}\right)^7\)
d)\(\left|\frac{1}{-2}\right|+\frac{1}{5}\)
Giúp mk nka, ai nhah mk tick cko
a) \(\frac{\left(x+\frac{3}{4}\right)\cdot\frac{7}{2}-\frac{1}{6}}{-\left(\frac{4}{5}+\frac{1}{3}\right)\cdot\frac{1}{2}+1}=2\frac{33}{52}\)
b) \(\frac{\left(5-\frac{2}{7}\right)\cdot\frac{7}{9}:\frac{3}{5}}{\left(3x-\frac{5}{6}\right):\frac{1}{7}}=5\frac{5}{21}\)
Bài 7: Tìm x biết
CAC BAN GIUP MK NHA
AI CO CAU TRA LOI NHANH NHAT VA CHINH XAC NHAT THI MK TICK CHO
o0oNguyễno0o bn giúp mk nha bài này khó wa
Giup minh giai bai nay voi : minh khong nhan duoc tieng viet mong moi nguoi thong cam cho minh
cau a) \(\left(x+\frac{7}{4}\right)x\frac{3}{2}=6\)
cau b) \(x:\frac{3}{5}+\frac{2}{5}=\frac{9}{5}\)
cau c) \(\frac{1}{2}:3+x=\frac{5}{3}\)
a) \(\left(x+\frac{7}{4}\right)\times\frac{3}{2}=6\)
\(\Leftrightarrow\left(x+\frac{7}{4}\right)=6\div\frac{3}{2}\)
\(\Leftrightarrow x+\frac{7}{4}=4\)
\(\Leftrightarrow x=4-\frac{7}{4}\)
\(\Leftrightarrow x=\frac{9}{4}\)
b) \(x\div\frac{3}{5}+\frac{2}{5}=\frac{9}{5}\)
\(\Leftrightarrow x\div\frac{3}{5}=\frac{9}{5}-\frac{2}{5}\)
\(\Leftrightarrow x\div\frac{3}{5}=\frac{7}{5}\)
\(\Leftrightarrow x=\frac{7}{5}\times\frac{3}{5}\)
\(\Leftrightarrow x=\frac{21}{25}\)
c) \(\frac{1}{2}\div3+x=\frac{5}{3}\)
\(\Leftrightarrow\frac{1}{6}+x=\frac{5}{3}\)
\(\Leftrightarrow x=\frac{5}{3}-\frac{1}{6}\)
\(\Leftrightarrow x=\frac{3}{2}\)
cac ban oi cho minh hoi cau nay voi a : so x < 0 thoa man : \(\frac{1}{x^2+̣̣9x+20}+\frac{1}{^{^{x^2+11x+30}}}+\frac{1}{x^2+12x+42}̣́\frac{1}{18}\)
Mấy câu này có trong Violympic 7 vòng 3 nka
C1 Tìm giá trị của a biết: \(-2\frac{2}{3}\)của a bằng \(\frac{36}{5}\)
C2 Tìm x để B đạt max: \(B=-\left(x-2016\right)^2-3,1\)
C3 Tìm tỉ số giữa A và B biết \(\frac{2}{7}\)của A gấp \(\frac{4}{9}\)lần \(\frac{3}{10}\)của B
Câu 1: -2,7
Câu 2: 2016
Câu 3: \(\frac{7}{15}\)
1.gia tri cu m de phuong trinh 8x-7+m=x-6 co nghiem la x=-2
2.gia tri x lon nhat thoa man c+\(\sqrt{3}\)+3x2-9=0
3.tich cac gia tri x thoa man x2-\(\frac{1}{10}\)x-\(\frac{1}{5}\)=0
1)\(x=-2\Leftrightarrow8\left(-2\right)-7+m=-2-6\Rightarrow m=15\)
2) không dõ đề
3) \(\left(x-\frac{1}{20}\right)^2=\frac{1}{5}+\frac{1}{400}=\frac{81}{400}\)\(\Leftrightarrow x=\frac{1}{20}+\frac{9}{20}=\frac{1}{2};x=\frac{1}{20}-\frac{9}{20}=-\frac{2}{5}\)
a)\(\frac{-3}{2}-2x+\frac{3}{4}=-2\)
b)\(\left(\frac{-2}{3}x-\frac{3}{5}\right)\left(\frac{3}{-2}-\frac{10}{3}\right)=\frac{2}{5}\)
c)\(\frac{x}{2}-\left(\frac{3x}{5}-\frac{13}{5}\right)=-\left(\frac{7}{5}+\frac{7}{10}.x\right)\)
d)\(\frac{2x-3}{3}+\frac{-3}{2}=\frac{5-3x}{6}-\frac{1}{3}\)
e)\(\frac{2}{3x}-\frac{3}{12}=\frac{4}{5}-\left(\frac{7}{x}2\right)\)
k)\(\frac{13}{x-1}+\frac{5}{2x-2}-\frac{6}{3x-3}\)
m)\(\left(\frac{3}{2}-\frac{2}{-5}\right):x-\frac{1}{2}=\frac{3}{2}\)
n)\(\left(\frac{3}{2}-\frac{5}{11}-\frac{3}{13}\right)\left(2x-2\right)=\left(\frac{-3}{4}+\frac{5}{22}+\frac{3}{26}\right)\)
Giải giúp mk
mk đang cần ghấp trong hôm nay
cám ơn mọi người
\(a,-\frac{3}{2}-2x+\frac{3}{4}=-2\)
=> \(-\frac{3}{2}+\left(-2x\right)+\frac{3}{4}=-2\)
=> \(\left(-\frac{3}{2}+\frac{3}{4}\right)+\left(-2x\right)=-2\)
=> \(-\frac{3}{4}+\left(-2x\right)=-2\)
=> \(-2x=-2-\left(-\frac{3}{4}\right)=-\frac{5}{4}\)
=> \(x=-\frac{5}{4}:\left(-2\right)=\frac{5}{8}\)
Vậy \(x\in\left\{\frac{5}{8}\right\}\)
\(b,\left(\frac{-2}{3}x-\frac{3}{4}\right)\left(\frac{3}{-2}-\frac{10}{4}\right)=\frac{2}{5}\)
=> \(\left(-\frac{2}{3}x-\frac{3}{4}\right).\left(-4\right)=\frac{2}{5}\)
=> \(-\frac{2}{3}x-\frac{3}{4}=\frac{2}{5}:\left(-4\right)=-\frac{1}{10}\)
=> \(-\frac{2}{3}x=-\frac{1}{10}+\frac{3}{4}=\frac{13}{20}\)
=> \(x=\frac{13}{20}:\left(-\frac{2}{3}\right)=-\frac{39}{40}\)
Vậy \(x\in\left\{-\frac{39}{40}\right\}\)
\(c,\frac{x}{2}-\left(\frac{3x}{5}-\frac{13}{5}\right)=-\left(\frac{7}{5}+\frac{7}{10}x\right)\)
=> \(\frac{x}{2}-\frac{3x}{5}+\frac{13}{5}=-\frac{7}{5}-\frac{7}{10}x\)
=> \(10.\frac{x}{2}-10.\frac{3x}{5}+10.\frac{13}{5}=10.\frac{-7}{5}-10.\frac{7}{10}x\)
( chiệt tiêu )
=> \(5x-6x+26=-14-7x\)
=> \(-x+26=-14-7x\)
=> \(-x+7x=-14-26\)
=> \(6x=-40\)
=> \(x=-40:6=\frac{20}{3}\)
Vậy \(x\in\left\{\frac{20}{3}\right\}\)
\(d,\frac{2x-3}{3}+\frac{-3}{2}=\frac{5-3x}{6}-\frac{1}{3}\)
=> \(6.\frac{2x-3}{3}+6.\frac{-3}{2}=6.\frac{5-3x}{6}-6.\frac{1}{3}\)
( chiệt tiêu )
=> \(2\left(2x-3\right)-9=5-3x-2\)
=> \(4x-6-9=3-3x\)
=> \(4x-15=3-3x\)
=> \(4x+3x=3+15\)
=> \(7x=18\)
=> \(x=18:7=\frac{18}{7}\)
Vậy \(x\in\left\{\frac{18}{7}\right\}\)
\(e,\frac{2}{3x}-\frac{3}{12}=\frac{4}{x}-\left(\frac{7}{x}.2\right)\)
ĐKXĐ : \(x\ne0\)
=> \(\frac{2}{3x}-\frac{1}{4}=\frac{4}{x}-\frac{14}{x}\)
=> \(\frac{2}{3x}-\frac{4}{x}+\frac{14}{x}=\frac{1}{4}\)
=> \(\frac{2}{3x}-\frac{12}{3x}+\frac{42}{3x}=\frac{1}{4}\)
=> \(\frac{32}{3x}=\frac{1}{4}\)
=> \(3x=32.4:1=128\)
=> \(x=128:3=\frac{128}{3}\)
Vậy \(x\in\left\{\frac{128}{3}\right\}\)
\(k,\frac{13}{x-1}+\frac{5}{2x-2}-\frac{6}{3x-3}\)
ĐKXĐ :\(x\ne1;\)
=> \(\frac{13}{x-1}+\frac{5}{2\left(x-1\right)}-\frac{6}{3\left(x-1\right)}\)
=> \(\frac{13}{x-1}+\frac{5}{2\left(x-1\right)}-\frac{1}{x-1}\)
=> \(\frac{2.13}{2\left(x-1\right)}+\frac{5}{2\left(x-1\right)}-\frac{2.1}{2.\left(x-1\right)}\)
=> \(\frac{26+5-2}{2\left(x-1\right)}\)
=> \(\frac{29}{2\left(x-1\right)}\)
\(m,\left(\frac{3}{2}-\frac{2}{-5}\right):x-\frac{1}{2}=\frac{3}{2}\)
=> \(\frac{19}{10}:x-\frac{1}{2}=\frac{3}{2}\)
=> \(\frac{19}{10}:x=\frac{3}{2}+\frac{1}{2}=2\)
=> \(x=\frac{19}{10}:2=\frac{19}{20}\)
Vậy \(x\in\left\{\frac{19}{20}\right\}\)
\(n,\left(\frac{3}{2}-\frac{5}{11}-\frac{3}{13}\right)\left(2x-1\right)=\left(\frac{-3}{4}+\frac{5}{22}+\frac{3}{26}\right)\)
=> \(\frac{233}{286}\left(2x-1\right)=-\frac{233}{572}\)
=> \(2x-1=-\frac{233}{572}:\frac{233}{286}=-\frac{1}{2}\)
=> \(2x=-\frac{1}{2}+1=\frac{1}{2}\)
=> \(x=\frac{1}{2}:2=\frac{1}{4}\)
Vậy \(x\in\left\{\frac{1}{4}\right\}\)