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Đề trước đó:
(x-7)(x+1)-(x-3)^2=(3x-5)(3x+5)-(3x+1)^2+(x-2)^2-x
<=>x^2+x-7x-7-x^2+6x-9=9x^2-25-9x^2-6x-1+x^2-4x+4-x
<=>x^2-11x-6=0
<=>x^2-2x. 11/2 + 121/4-145/4=0
<=>(x-11/2)^2=145/4
<=>|x-11/2|=căn(145)/2
<=>x=[11+-căn(145)]/2
\(\left(-\frac{10}{3}\right)^5.\left(-\frac{6}{5}\right)^4=\frac{\left(-10\right)^5}{\left(-3\right)^5}.\frac{\left(-6\right)^4}{\left(-5\right)^4}=\frac{\left(-5\right)^4.\left(-5\right).\left(-2\right)^5}{\left(-3\right)^4.\left(-3\right)}.\frac{\left(-3\right)^4.\left(-2\right)^4}{\left(-5\right)^4}=\frac{\left(-5\right).\left(-2\right)^5.\left(-2\right)^4}{\left(-3\right)}\)
\(=\frac{\left(-5\right).\left(-2\right)^9}{\left(-3\right)}\)
th1: x<-2 => -x-x-2=3 <=> -2x=5 <=> x=-5/2 (t/m đk)
th2: \(-2\le x\le0\) <=> -x+x+2=0 <=> 2=0 => PTVN
th3: x>0 => x+x+2=3 <=> 2x=5 <=> x=5/2 (t/m đk)
=> x= +- 5/2
\(\frac{2}{5}+\frac{3}{5}.\left(3x-3\right)=\frac{-5}{10}\)
\(\frac{2}{5}+\frac{3}{5}.3.\left(x-1\right)=\frac{-1}{2}\)
\(\frac{9}{5}.\left(x-1\right)=\frac{-1}{2}-\frac{2}{5}\)
\(\frac{9}{5}.\left(x-1\right)=\frac{-9}{10}\)
\(x-1=\frac{-9}{10}:\frac{9}{5}\)
\(x-1=\frac{-1}{2}\)
\(x=\frac{-1}{2}+1\)
\(x=\frac{1}{2}\)
\(\frac{2}{5}+\frac{3}{5}.\left(3x-3\right)=-\frac{5}{10}\)
\(\frac{3}{5}\left(3x-3\right)=-\frac{5}{10}-\frac{2}{5}\)
\(\frac{3}{5}\left(3x-3\right)=-\frac{9}{10}\)
\(\left(3x-3\right)=-\frac{9}{10}:\frac{3}{5}\)
\(3\left(x-1\right)=-\frac{3}{2}\)
\(x-1=-\frac{1}{2}\)
\(x=\frac{1}{2}\)
Vậy...