tìm x biết :
a) ( x - 5 )2 - x ( x - 4 ) = 0
b ) x2 - 3x = 5( x - 3 )
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1. She was surprised when she found a golden coin in the garden. (when)
2. I will go shopping as soon as I find my wallet (as soon as)
3. He made a quick phone call to a client before he left the office. (before)
4. After he had mowed the lawn, he took a rest. (after)
1. She was surprised when she found a golden coin in the garden.
2. I will go shopping right after as soon as I find my wallet.
3. Before he made a quick phone call to a client, he left the office.
4. He took a rest after he mowed the lawn.
a: ĐKXĐ: x∉{1;-1}
b: Ta có: \(C=\frac{x}{2x-2}+\frac{x^2+1}{2-2x^2}\)
\(=\frac{x}{2\left(x-1\right)}-\frac{x^2+1}{2\cdot\left(x-1\right)\left(x+1\right)}\)
\(=\frac{x\left(x+1\right)-x^2-1}{2\left(x-1\right)\left(x+1\right)}=\frac{x-1}{2\left(x-1\right)\left(x+1\right)}=\frac{1}{2\left(x+1\right)}\)
c: \(C=\frac12\)
=>\(\frac{1}{2\left(x+1\right)}=\frac12\)
=>x+1=1
=>x=0(nhận)
d: C>0
=>\(\frac{1}{2\left(x+1\right)}>0\)
=>2(x+1)>0
=>x+1>0
=>x>-1
Kết hợp ĐKXĐ, ta được: \(\begin{cases}x>-1\\ x<>1\end{cases}\)
a) (x - 5)² - x(x - 4) = 0
x² - 10x + 25 - x² + 4x = 0
-6x + 25 = 0
6x = 25
x = 25/6
b) x² - 3x = 5(x - 3)
x² - 3x = 5x - 15
x² - 3x - 5x + 15 = 0
(x² - 3x) - (5x - 15) = 0
x(x - 3) - 5(x - 3) = 0
(x - 3)(x - 5) = 0
x - 3 = 0 hoặc x - 5 = 0
*) x - 3 = 0
x = 3
*) x - 5 = 0
x = 5
Vậy x = 3; x = 5