Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(a.x+\dfrac{3}{7}=\dfrac{2}{5}:\dfrac{18}{35}\\x+\dfrac{3}{7}=\dfrac{2}{5}\times\dfrac{35}{18} \\ x+\dfrac{3}{7}=\dfrac{7}{9}\\ x=\dfrac{7}{9}-\dfrac{3}{7}\\ x=\dfrac{22}{63}\)
\(b.x\times\dfrac{5}{9}=\dfrac{4}{5}-\dfrac{1}{3}\\x\times\dfrac{5}{9}=\dfrac{7}{15}\\ x=\dfrac{7}{15}:\dfrac{5}{9}\\ x= \dfrac{21}{25}\)
a. x + \(\dfrac{3}{7}\)= \(\dfrac{2}{5}:\dfrac{18}{25}=>x+\dfrac{3}{7}=\dfrac{2}{5}\)x\(\dfrac{35}{18}=>x+\dfrac{3}{7}=\dfrac{7}{9}\)
=> x = \(\dfrac{7}{9}-\dfrac{3}{7}=\dfrac{49}{63}-\dfrac{27}{63}=\dfrac{22}{63}\)
b. \(x\) x \(\dfrac{5}{9}\)= \(\dfrac{4}{5}-\dfrac{1}{3}\)
=> \(x\) x \(\dfrac{5}{9}\)= \(\dfrac{12}{15}-\dfrac{5}{15}=>x\) x \(\dfrac{5}{9}\)= \(\dfrac{7}{15}\)
=> x = \(\dfrac{7}{15}:\dfrac{5}{9}\)
=> x = \(\dfrac{21}{25}\)
\(a,\frac{x+8}{3}+\frac{x+7}{2}=-\frac{x}{5}\)
\(\Leftrightarrow\frac{10\cdot\left(x+8\right)}{30}+\frac{15\left(x+7\right)}{30}=\frac{-6x}{30}\)
\(\rightarrow10x+80+15x+105=-6x\)
\(\Leftrightarrow31x+185=0\)
\(\Leftrightarrow x=-\frac{185}{31}\)
b,\(b,\frac{x-8}{3}+\frac{x-7}{4}=4+\frac{1-x}{5}\)
\(\Leftrightarrow\frac{20\left(x-8\right)}{60}+\frac{15\left(x-7\right)}{60}=\frac{240}{60}+\frac{12\left(1-x\right)}{60}\)
\(\rightarrow20x-160+15x-105=240+12-12x\)
\(\Leftrightarrow47x-517=0\)\(\Leftrightarrow x=11\)
x2-4x+4=4x2-12x+9
\(\Leftrightarrow\)3x2-8x+5=0
\(\Leftrightarrow\)3x2-3x-5x+5=0
\(\Leftrightarrow\)3x(x-1)-5(x-1)=0
\(\Leftrightarrow\)(x-1)(3x-5)=0
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=\frac{5}{3}\\x=1\end{cases}}\)
b,x2-2x-25=0
\(\Leftrightarrow\)(x-1)2-26=0
\(\Leftrightarrow\)(x-1-\(\sqrt{26}\))(x-1+\(\sqrt{26}\))=0
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=\sqrt{26}+1\\x=-\sqrt{26}+1\end{cases}}\)
2, a, x^2-2x+1+4=(x-1)^2+4\(\ge\)4
b, 4x^2-4x+1-1+y^2+2y+1-1-2015=(2x-1)^2+(y+1)^2-2017\(\ge\)-2017
mk làm như thế thôi chứ bài kia dài quá mk làm biếng sory
Nguyễn Thị Hà Tiên : Cảm ơn bạn nhiều lắm =)) Mik đã bt hướng làm bài rồi :3 Thực sự cảm ơn pạn nek <3
Bài 1:
a) \(\left(x-2\right)^2=4x^2-12x+9\Leftrightarrow\left(x-2\right)^2=\left(2x-9\right)^2\Leftrightarrow\left(x-2\right)^2-\left(2x-9\right)^2=0\)
\(\Leftrightarrow\left(x-2+2x-9\right)\left(x-2-2x+9\right)=0\Leftrightarrow\left(3x-11\right)\left(7-x\right)=0\)
\(\Leftrightarrow\hept{\begin{cases}3x-11=0\Leftrightarrow3x=11\Leftrightarrow x=\frac{11}{3}\\7-x=0\Leftrightarrow-x=-7\Leftrightarrow x=7\end{cases}}\)
VẬy tập nghiệm của phương trình là : S={11/3 ; 7}
b) Nếu x^2 -2x =25 thì lẻ lắm . Tớ nghĩ phải là : x^2 -2x = 24
Bài 2 :
a) \(A=x^2-2x+5=x^2-2x+1+4=\left(x-1\right)^2+4\)
vì \(\left(x-1\right)^2\ge0\) nên \(\left(x-1\right)^2+4\ge4\) hay \(A\ge4\)
Vậy GTNN của A là 4 khi x = 1 ( hay x-1 =0 )
b) \(B=4x^2-4x+y^2+2y-2015=\left(4x^2-4x+1\right)+\left(y^2+2y+1\right)-2017\)
\(=\left(2x-1\right)^2+\left(y+1\right)^2-2017\)
Vì \(\left(2x-1\right)^2\ge0\) và \(\left(y+1\right)^2\ge0\) nên \(\left(2x-1\right)^2+\left(y+1\right)^2-2017\ge-2017\)
HAy \(B\ge-2017\) Vậy GTNN của B là -2017 khi x=1/2 và y = -1
\(a,\frac{5}{4}-\frac{1}{8}=\frac{10-1}{8}=\frac{9}{8}\)
\(b,\frac{6}{7}+\frac{4}{21}=\frac{18+4}{21}=\frac{22}{21}\)
\(c,\frac{6}{7}-\frac{3}{6}=\frac{36-21}{42}=\frac{5}{14}\)
\(d,\frac{5}{9}+\frac{3}{4}=\frac{20+27}{36}=\frac{47}{36}\)
\(e,\frac{2}{5}\times\frac{4}{7}=\frac{8}{35}\)
a) 5/4 - 1/8 b) 6/7 + 4/21 c) 6/7 - 3/6 d) 5/9 + 3/4 e) 2/5 x 4/7 h) 3/10 : 6/10
= 10/8 - 1/8 = 18/21 + 4/21 = 6/7 - 1/2 = 20/36 + 27/36 = 8/35 = 3/10 : 3/5
= 9/8 = 22/21 = 6/7 + ( -1/2 ) = 47/36 = 3/10 x 5/3
= 12/14 + ( -7/14 ) = 15/30
= 5/14 = 1/2 chúc bạn học tốt nhé !
Ta có : 6x2 - 11x + 3
= 6x2 - 2x - 9x + 3
= (6x2 - 2x) - (9x - 3)
= 2x(3x - 1) - 3(3x - 1)
= (2x - 3)(3x - 1)
\(x+\dfrac{1}{5}-\dfrac{3}{7}=\dfrac{6}{35}\)
\(x+\dfrac{1}{5}=\dfrac{6}{35}+\dfrac{3}{7}\)
\(x+\dfrac{1}{5}=\dfrac{6}{35}+\dfrac{15}{35}\)
\(x+\dfrac{1}{5}=\dfrac{21}{35}\)
\(x=\dfrac{21}{35}-\dfrac{1}{5}\)
\(x=\dfrac{21}{35}-\dfrac{7}{35}\)
\(x=\dfrac{14}{35}=\dfrac{2}{5}\)
\(x\) + \(\dfrac{1}{5}\) - \(\dfrac{3}{7}\) = \(\dfrac{6}{35}\)
\(x\) + \(\dfrac{1}{5}\) = \(\dfrac{6}{35}\) + \(\dfrac{3}{7}\)
\(x\) + \(\dfrac{1}{5}\) = \(\dfrac{3}{5}\)
\(x\) = \(\dfrac{3}{5}\) - \(\dfrac{1}{5}\)
\(x\) =\(\dfrac{2}{5}\)
a) 14-(7-x+3)=5-{4-(5- |3| ) }
14-(10-x) = 5-{4-(5-3) }
x +14-10=5-(4-2)
x+4 = 5-2
x+4 =3
x =3-4
x =-1 Vậy x= -1
-7 + [ - (-3) + |6| - (544 + |-6 |) ] = 5 - ( 7 - x + 4)
-7+{ 3+6-(544+6) } =5-(11-x)
-7+(9-600) =x+5-11
-7+-591 =x+(-6)
-598 = x+ (-6)
x =-598 - (-6)
x = -592
Vậy x= -592
tick mình nha
Cảm ơn bạn nhiều nhé,vậy mình làm giống bạn rồi!!!