giúp mình làm bài này với :
tính :
aaa : ( a x 3 ) - 360 : ( 5 x2 )
( a0a x 3 ) : a -303
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a: \(A=x^3+3x^2-5x-15+x^2-x^3+4x-4x^2\)
\(=-x-15\)
\(=-\left(-1\right)-15=1-15=-14\)
a) \(A=\dfrac{1}{x+5}+\dfrac{2}{x-5}-\dfrac{2x+10}{\left(x+5\right)\left(x-5\right)}\)
\(A=\dfrac{x-5+2x+10-2x-10}{\left(x+5\right)\left(x-5\right)}=\dfrac{x-5}{\left(x+5\right)\left(x-5\right)}=\dfrac{1}{x+5}\)
b) \(A=-3\Rightarrow\dfrac{1}{x+5}=-3\)
\(\Leftrightarrow x+5=-\dfrac{1}{3}\Leftrightarrow x=-\dfrac{1}{3}-5=\dfrac{-16}{3}\)
\(9x^2-42x+49=\left(3x-7\right)^2=\left(3.\dfrac{-16}{3}-7\right)^2=\left(-23\right)^2=529\) \(\left(x=\dfrac{-16}{3}\right)\)
Bài 3:
a:
ĐKXĐ: x>=-5
\(x^2-7x=6\sqrt{x+5}-30\)
=>\(x^2-4x-3x+12=6\sqrt{x+5}-18\)
=>\(\left(x-4\right)\left(x-3\right)=6\left(\sqrt{x+5}-3\right)\)
=>\(\left(x-4\right)\left(x-3\right)=6\cdot\frac{x+5-9}{\sqrt{x+5}+3}\)
=>\(\left(x-4\right)\left(x-3-\frac{6}{\sqrt{x+5}+3}\right)=0\)
=>x-4=0
=>x=4(nhận)
Bài 2:
a: ĐKXĐ: x>=0
\(\sqrt{x+4\sqrt{x}+4}=5x+2\)
=>\(\sqrt{\left(\sqrt{x}+2\right)^2}=5x+2\)
=>\(5x+2=\sqrt{x}+2\)
=>\(5x-\sqrt{x}=0\)
=>\(\sqrt{x}\left(5\sqrt{x}-1\right)=0\)
=>\(\left[\begin{array}{l}\sqrt{x}=0\\ 5\sqrt{x}-1=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=0\\ \sqrt{x}=\frac15\end{array}\right.\Rightarrow\left[\begin{array}{l}x=0\left(nhận\right)\\ x=\frac{1}{25}\left(nhận\right)\end{array}\right.\)
b: \(\sqrt{x^2-2x+1}+\sqrt{x^2+4x+4}=4\)
=>\(\sqrt{\left(x-1\right)^2}+\sqrt{\left(x+2\right)^2}\) =4
=>|x-1|+|x+2|=4(1)
TH1: x<-2
(1) sẽ trở thành: -x-2+1-x=4
=>-2x-1=4
=>-2x=5
=>x=-5/2(nhận)
TH2: -2<=x<1
(1) sẽ trở thành: x+2+1-x=4
=>3=4(vô lý)
TH3: x>=1
(1) sẽ trở thành: x+2+x-1=4
=>2x+1=4
=>2x=3
=>x=3/2(nhận)
c: ĐKXĐ: x>=1
\(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}=2\)
=>\(\sqrt{x-1+2\sqrt{x-1}+1}+\sqrt{x-1-2\sqrt{x-1}+1}=2\)
=>\(\sqrt{\left(\sqrt{x-1}+1\right)^2}+\sqrt{\left(\sqrt{x-1}-1\right)^2}=2\)
=>\(\sqrt{x-1}+1+\left|\sqrt{x-1}-1\right|=2\)
=>\(\left|\sqrt{x-1}-1\right|=2-\sqrt{x-1}-1=1-\sqrt{x-1}\)
=>\(\sqrt{x-1}-1\le0\)
=>\(\sqrt{x-1}\le1\)
=>0<=x-1<=1
=>1<=x<=2
aaa : ( ax3 ) - 360 : ( 5x2 )
= aaa : a x 3 - 360 : 10
= (aaa : a) x 3 - 360 : 10
= 111 x 3 - 36
= 333 - 36= 297
a: Ta có: \(2x\left(x-3\right)+x-3=0\)
\(\Leftrightarrow\left(x-3\right)\left(2x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-\dfrac{1}{2}\end{matrix}\right.\)
b: Ta có: \(x^2\left(x-6\right)-x^2+36=0\)
\(\Leftrightarrow\left(x-6\right)\left(x^2-x-6\right)=0\)
\(\Leftrightarrow\left(x-6\right)\left(x-3\right)\left(x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=6\\x=3\\x=-2\end{matrix}\right.\)
Em xin tham khảo:
a, aaa : a : 3 - 360 : 10
= 111 : 3 - 36
= 37 - 36
= 1
b, b. a0a0a : a x 3 - 20202 = 10101
a: Ta có: \(\left(x-3\right)^2-x\left(x+5\right)=9\)
\(\Leftrightarrow x^2-6x+9-x^2-5x=9\)
\(\Leftrightarrow x=0\)
b: Ta có: \(\left(x+2\right)\left(x^2-2x+4\right)-x\left(x^2+2\right)=15\)
\(\Leftrightarrow x^3+8-x^3-2x=15\)
\(\Leftrightarrow2x=-7\)
hay \(x=-\dfrac{7}{2}\)
aaa:(a x 3)-360:(5 x 2)
=a x111:a:3-360:10
=(a:a) x (111:3)-36
=1 x 37-36
=1
(a0a x3):a-303
=(a x 101 x 3):a-303
=a x 303 :a -303
=(a:a) x (303-303)
=1 x0
=0
thank you very much !!!!!!!!!!!!!!!!!!!!!!!