\(4x^2-y^2=3\Leftrightarrow y^2=4x^2-3\)

\(\Rightarrow3x^2+4x^2-3=2\)

\(7x^2=5\)

\(x^2=\frac{5}{7}\)

\(x\in\left\{\pm\sqrt{\frac{5}{7}}\right\}\)

Xét các t/h của x rồi tìm y xong kết luận nhé

3x² + y² =2      (1)

4x²  -Y² = 3      (2)

Cộng 1 và 2 ta có 

3x² + 4x² = 5

x²(3+4) = 5

x² = 5/7

x= tu tinh 

thay x vao 1 tim y 

ok!

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Tui nek ở nhà ôn bài mai thi òi

Thi từ thứ 3->6

khổ ko

\(\sqrt{5+2\sqrt{6}}-\sqrt{\left(\sqrt{3}-\sqrt{2}\right)^2}\)

\(=\sqrt{\left(\sqrt{3}+\sqrt{2}\right)^2}-\sqrt{\left(\sqrt{3}-\sqrt{2}\right)^2}\)

\(=|\sqrt{3}+\sqrt{2}|-|\sqrt{3}-\sqrt{2}|\)

\(=\sqrt{3}+\sqrt{2}-\sqrt{3}+\sqrt{2}\)

\(=2\sqrt{2}\)

đay là bài cuối đề thi cấp 3 năm vừa r của hà nội bn tìm đáp án ở đấy xm

a) Xét ΔABE  và ΔACF có

Alà góc chung

AEB=AFC(=90^O)

=> ΔABE đồng dạng ΔACF (g.g)

=>AF/AE​=AC/AB​

=> AB/AE​=AC/AF​

XétΔAEF và  ΔABC có

AB/AE​=AC/AF​

Và Agóc chung

Suy raΔAEF đồng dạngΔABC( c.g.c) 

\(xy-4x=25-5y\Leftrightarrow xy-4x+5y-25=0\)

\(\Leftrightarrow x\left(y-4\right)+5\left(y-4\right)-5=0\)

\(\Leftrightarrow\left(x+5\right)\left(y-4\right)=5\)

Từ đó có ước và tìm nghiệm tự nhiên.