HOC24
Lớp học
Môn học
Chủ đề / Chương
Bài học
1.was
2.would
3.liked
4.said
5.were
6.could
7.was
8.costs
9.said
10.had just got
1.b
2.d
3.c
4.b
5.d
6.c
7.d
8.a
9.c
10.b
=\(\left(\dfrac{\sqrt{x}}{3+\sqrt{x}}+\dfrac{9+x}{\left(3-\sqrt{x}\right).\left(3+\sqrt{x}\right)}\right).\left(3\sqrt{x}-x\right)\)
=\(\left(\dfrac{\sqrt{x}.\left(3-\sqrt{x}\right)}{\left(3+\sqrt{x}\right)\left(3-\sqrt{x}\right)}+\dfrac{9+x}{\left(3+\sqrt{x}\right)\left(3-\sqrt{x}\right)}\right).\left(3\sqrt{x}-x\right)\)
=\(\dfrac{3\sqrt{x}-x+9+x}{\left(3+\sqrt{x}\right)\left(3-\sqrt{x}\right)}.\left(3\sqrt{x}-x\right)\)
=\(\dfrac{3\sqrt{x}+9}{\left(3+\sqrt{x}\right)\left(3-\sqrt{x}\right)}.\left(3\sqrt{x}-x\right)\)
=\(\dfrac{3\left(\sqrt{x}+3\right).\sqrt{x}\left(3-\sqrt[]{x}\right)}{\left(3+\sqrt{x}\right)\left(3-\sqrt{x}\right)}\)
=\(3\sqrt{x}\)
=\(\left(\dfrac{5\sqrt{x}-6}{\left(\sqrt{x}-3\right).\left(\sqrt{x}+3\right)}-\dfrac{2}{\sqrt{x}+3}\right):\left(\dfrac{x-9}{x-9}+\dfrac{6}{x-9}\right)\)
=\(\left(\dfrac{5\sqrt{x}-6-2\sqrt{x}+6}{x-3}\right):\left(\dfrac{x-9+6}{x-9}\right)\)
=\(\left(\dfrac{3\sqrt{x}}{x-3}\right):\dfrac{x-3}{x-9}\)
=\(\dfrac{3\sqrt{x}}{x-3}.\dfrac{x-9}{x-3}\)
=\(\dfrac{3x+9}{\sqrt{x}-3}\)
d.P>2
(=)\(\dfrac{2x}{x-2}>2\)
(=)\(\dfrac{2x}{x-2}-2>0\)
(=)\(\dfrac{2x}{x-2}-\dfrac{2\left(x-2\right)}{x-2}>0\)
(=)\(\dfrac{2x}{x-2}-\dfrac{2x-4}{x-2}>0\)
(=)\(\dfrac{2x-2x+4}{x-2}>0\)
(=)\(\dfrac{4}{x-2}>0\)
(=)x-2>0
(=)x>2
P rút gọn bằng mấy á
A=\(\left(\dfrac{4}{\sqrt{x}-1}-\dfrac{\sqrt{x}-2}{\left(\sqrt{x}-1\right).\left(\sqrt{x}-2\right)}\right).\left(\dfrac{\sqrt{x}-1}{x^2}\right)\)
=\(\left(\dfrac{4.}{\sqrt{x}-1}-\dfrac{1}{\sqrt{x}-1}\right).\left(\dfrac{\sqrt{x}-1}{x^2}\right)\)
=\(\dfrac{4-1}{\sqrt{x}-1}.\dfrac{\sqrt{x}-1}{x^2}\)
=\(\dfrac{3.\left(\sqrt{x}-1\right)}{\left(\sqrt{x}-1\right).x^2}\)
=\(\dfrac{3}{x^2}\)
1.residential
2.financial
3.mountainous
4.performance
5.famous
6.various
7.reasonable
8.cultural
9.information
10.exhibition