giải bài 12 với ạ
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a) \(x\left(2-x\right)+\left(x+3\right)^2=9\)
\(\Leftrightarrow-x^2+2x+x^2+6x+9=9\)
\(\Leftrightarrow8x=0\Leftrightarrow x=0\)
b) \(\Leftrightarrow x^2-8x+16-x^2+2x+3=-5\)
\(\Leftrightarrow-6x=-24\Leftrightarrow x=4\)
c) \(\Leftrightarrow\left(x-3\right)^2=0\)
\(\Leftrightarrow x-3=0\Leftrightarrow x=3\)
d) \(\Leftrightarrow\left(3x-2\right)^2=0\)
\(\Leftrightarrow3x-2=0\Leftrightarrow x=\dfrac{2}{3}\)
e) \(\Leftrightarrow\left(x-9-2x\right)\left(x-9+2x\right)=0\)
\(\Leftrightarrow-3\left(x+9\right)\left(x-3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-9\\x=3\end{matrix}\right.\)
f) \(\Leftrightarrow\left(5x-3-3x+5\right)\left(5x-3+3x-5\right)=0\)
\(\Leftrightarrow16\left(x+1\right)\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-1\end{matrix}\right.\)
bài này bn quy đồng mẫu xong tính là ok nhé
mik hướng dẫn bn thôi mik hông vt lại lên đây đâu mik lười lắm có chỗ nào ko lm đc thì gửi mik mik giúp nha
HT~~~
Bài làm
( x3 + 12 ) : 4 = 60 + ( -3 )
( x3 + 12 ) : 4 = 60 - 3
( x3 + 12 ) : 4 = 57
x3 + 12 = 57 . 4
x3 + 12 = 228
x3 = 228 - 12
x3 = 216
Mà 216 = 63
=> x3 = 63
=> x = 6
Vậy x = 6
# Học tốt #
A = \(\dfrac{4}{1\times3}\) - \(\dfrac{8}{3\times5}\) + \(\dfrac{12}{5\times7}\) - \(\dfrac{16}{7\times9}\) + \(\dfrac{20}{9\times11}\) - \(\dfrac{24}{11\times13}\)
A = ( \(\dfrac{1}{1}+\dfrac{1}{3}\)) - ( \(\dfrac{1}{3}\) + \(\dfrac{1}{5}\)) + (\(\dfrac{1}{5}\)+ \(\dfrac{1}{7}\)) - ( \(\dfrac{1}{7}\) + \(\dfrac{1}{9}\)) +( \(\dfrac{1}{9}\)+ \(\dfrac{1}{11}\)) - (\(\dfrac{1}{11}\)+\(\dfrac{1}{13}\))
A = \(\dfrac{1}{1}+\dfrac{1}{3}\) - \(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{7}\) - \(\dfrac{1}{7}\) - \(\dfrac{1}{9}\) + \(\dfrac{1}{9}\) + \(\dfrac{1}{11}\) - \(\dfrac{1}{11}\) - \(\dfrac{1}{13}\)
A = \(\dfrac{1}{1}\) - \(\dfrac{1}{13}\)
A = \(\dfrac{12}{13}\)
ta có: (a-b)2 = (a+b)2 - 4ab = 49 - 48 = 1 => a-b = \(\pm1\)
nhưng vì a<b nên a-b = -1
\(\left(a-b\right)^2=\left(a+b\right)^2-4ab=7^2-4\cdot12=1\)
nên a-b=-1
11.
\(=\frac{\sqrt{x}-3}{2-\sqrt{x}}+\frac{\sqrt{x}-2}{3+\sqrt{x}}+\frac{9-x}{(2-\sqrt{x})(\sqrt{x}+3)}\)
\(=\frac{(\sqrt{x}-3)(\sqrt{x}+3)}{(2-\sqrt{x})(\sqrt{x}+3)}+\frac{\sqrt{x}-2}{3+\sqrt{x}}+\frac{9-x}{(2-\sqrt{x})(\sqrt{x}+3)}\)
\(=\frac{x-9}{(2-\sqrt{x})(\sqrt{x}+3)}+\frac{\sqrt{x}-2}{3+\sqrt{x}}+\frac{9-x}{(2-\sqrt{x})(\sqrt{x}+3)}\)
\(=\frac{\sqrt{x}-2}{3+\sqrt{x}}\)
12.
\(=\frac{(3-\sqrt{x})(3\sqrt{x}-2)+(5\sqrt{x}+7)(3\sqrt{x}+4)}{(5\sqrt{x}+7)(3\sqrt{x}-2)}-\frac{42\sqrt{x}+34}{(5\sqrt{x}+7)(3\sqrt{x}-2)}\)
\(=\frac{12x+52\sqrt{x}+22}{(5\sqrt{x}+7)(3\sqrt{x}-2)}-\frac{42\sqrt{x}+34}{(5\sqrt{x}+7)(3\sqrt{x}-2)}\)
\(=\frac{12x+10\sqrt{x}-12}{(5\sqrt{x}+7)(3\sqrt{x}-2)}=\frac{2(3\sqrt{x}-2)(2\sqrt{x}+3)}{(5\sqrt{x}+7)(3\sqrt{x}-2)}=\frac{2(2\sqrt{x}+3)}{5\sqrt{x}+7}\)