Tìm x biết:
\(\sqrt{x+2=\frac{5}{7}}\)
~ Giúp mk với, mk tk cho ~
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\(\frac{x-2}{4}=-\frac{16}{2-x}\)
\(\Leftrightarrow x-2=-\frac{64}{2-x}\)
\(\Leftrightarrow\left(x-2\right)\left(2-x\right)=-64\)
\(\Leftrightarrow2x-x^2-4+2x=-64\)
\(\Leftrightarrow4x-x^2-4+64=0\)
\(\Leftrightarrow4x-x^2-60=0\)
\(\Leftrightarrow x^2-4x-60=0\)
\(\Leftrightarrow\left(x-10\right)\left(x+6\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-10=0\\x+6=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=10\\x=-6\end{cases}}}\)
Vậy \(x\in\left\{10;-6\right\}\)
\(14\cdot\sqrt{x}-5\cdot\sqrt{x}< \frac{15}{2}\)
\(\Leftrightarrow9\cdot\sqrt{x}< \frac{15}{2}\Leftrightarrow\sqrt{x}< \frac{5}{6}\Leftrightarrow x< \left(\frac{5}{6}\right)^2=\frac{25}{36}\)
Ta có 14 \(\sqrt{x}\)- 5 \(\sqrt{x}\)< \(\frac{15}{2}\)
=> \(\sqrt{x}\)(14-5) < \(\frac{15}{2}\)
=>\(\sqrt{x}\)9 < \(\frac{15}{2}\)
=> \(\sqrt{x}\)< \(\frac{15}{2}\):9
=> x < \(\left(\frac{5}{6}\right)^2\)
=> x < \(\frac{25}{36}\)
Vậy x < \(\frac{25}{36}\)
a) \(\sqrt{x-1}=5\)
\(\Leftrightarrow x-1=25\)
\(\Rightarrow x=26\)
b)\(\sqrt{\left(x-\frac{1}{3}\right)^2}=7\)
\(\Leftrightarrow x-\frac{1}{3}=7\)
\(\Rightarrow x=\frac{22}{3}\)
c)\(\sqrt{x+1}+5=3\)
làm tương tự nha bạn
P/s tham khảo nha
a) \(\sqrt{x-1}=5\Leftrightarrow\left(\sqrt{x-1}\right)^2=5^2\)
\(\Leftrightarrow\sqrt{x-1}=25\)
\(\Leftrightarrow x=25+1=26\)
b) \(\sqrt{\left(x-\frac{1}{3}^2\right)}=7\). Đơn giản hóa phép tính:
\(\sqrt{\left(x-\frac{1}{3}\right)^2}\)với \(x-\frac{1}{3}\)
\(\Rightarrow x-\frac{1}{3}=7\)
\(x=7+\frac{1}{3}\Leftrightarrow x=\frac{22}{3}\)
c) \(\sqrt{1+x}+5=3\)
\(\sqrt{1-x}=3-5\)
\(\sqrt{1-x}=-2\)
\(\Leftrightarrow1+x=4\)
\(x=4-1=3\)
Mở rộng thêm:
When \(x=3\) the original equation \(\sqrt{1+x}+5=3\) does not hold true.
We will drop \(x=3\) from the solution set. (tự dịch nha! Vì mình sử dụng chương trình để trợ giúp mình giải
\(7-\left(11+x-13\right)\div2\frac{2}{3}=2\)
\(\left(11+x-13\right)\div2\frac{2}{3}=7-2\)
\(\left(11+x-13\right)\div2\frac{2}{3}=5\)
\(11+x-13=\frac{40}{3}\)
\(11+x=\frac{79}{3}\)
\(x=\frac{46}{3}\)
Ta có :
- x/3 = y/7 suy ra : x/6 = y/14
- y/2 = z/5 suy ra : y/14 = z/35
Và ................................
Kết quả là : x = 24 ; z = 140
ai tk mk mk tk lại
Ta có:
- x/3 = y/7 suy ra: x/6 = y/14
- y/2 = z/5 suy ra: y/14 = z/35
Và.......................................................
Nói chung kết quả: x=24
y=56
z=140
547 + ( x-2 ) x 1/3 = 1734
39/7 + ( x- 2 ) x 1/3 = 71/4
( x -2 ) x 1/3 = 71/4 - 39/7
( x -2 ) x 1/3 = 341/28
x - 2 = 341/28 : 1/3
x -2 = 341/28 x 3
x -2 = 1023/28
x = 1023/28 + 2
x = 1079/28
Bây giờ thì k cho mình nha
\(-12(x-5)+7(3-x)=5\)
\(\Rightarrow-12x-60+21-7x=5\)
\(\Rightarrow-12x-7x-60+21=5\)
\(\Rightarrow-12x-7x-81=5\)
\(\Rightarrow-19x-81=5\)
\(\Rightarrow81-19x=5\)
\(\Rightarrow-19x=-76\)
\(\Rightarrow x=4\)
-12(x-5)+7(3-x)=5
-12x-(-12.5)+7.3-7x=5
-12x-(-60)+21-7x=5
-12x-(-60)+21=5+7x
-12x-(-60)=5+7x-21
-12x=5+7x-21+(-60)
-12x-7x=5-21+(-60)
-19x=-76
x=-76:(-19)
x=4
vậy x=4
\(5\frac{4}{7}\) + ( x-2 ) x 1/3 = \(17\frac{3}{4}\)
39/7 + ( x- 2 ) x 1/3 = 71/4
( x -2 ) x 1/3 = 71/4 - 39/7
( x -2 ) x 1/3 = 341/28
x - 2 = 341/28 : 1/3
x -2 = 341/28 x 3
x -2 = 1023/28
x = 1023/28 + 2
x = 1079/28
P/s : số lớn tek!?
Cbht!!!!!
\(\frac{\frac{5}{4}}{7}+\left(x-2\right)\times\frac{1}{3}=\frac{\frac{17}{3}}{4}\)
\(\frac{35}{4}+\left(x-2\right)\times\frac{1}{3}=\frac{68}{3}\)
\(\frac{35}{4}+\left(x-2\right)=68\)
\(x-2=68-8,75\)
\(x-2=59,25\)
\(x=59,25+2\)
\(x=61,25\)
7 - ( 11 + x -13 ) : \(2\frac{2}{3}\) = 2
(11+ x - 13) : \(2\frac{2}{3}\) = 7-2
(11 + x - 13) : \(2\frac{2}{3}\)= 5
11 + x - 13 = 5 . \(2\frac{2}{3}\)
11 + x - 13 = \(\frac{40}{3}\)
11 + x = \(\frac{40}{3}+13\)
11 + x = \(\frac{79}{3}\)
x = \(\frac{79}{3}-11\)
x = \(\frac{46}{3}\)
Đề :)))
\(\sqrt{x+2}=\frac{5}{7}\)
\(\Leftrightarrow\left(\sqrt{x+2}\right)^2=\left(\frac{5}{7}\right)^2\)
\(\Leftrightarrow x+2=\frac{25}{49}\)
\(\Leftrightarrow x=\frac{25}{49}-2\)
\(\Leftrightarrow x=-\frac{73}{49}\)
\(\sqrt{x-2}=\frac{5}{7}\)
\(\Rightarrow\left(\sqrt{x+2}\right)^2=\left(\frac{5}{7}\right)^2\)
\(\Rightarrow x+2=\frac{25}{49}\)
\(\Rightarrow x=\frac{25}{49}-2\)
\(\Rightarrow x=-\frac{73}{49}\)
VẬY \(X=-\frac{73}{49}\)
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