Giai phuong trinh:
\(\sqrt{x^2+2x-2}+2\sqrt{x^2+2x-2}=x+2\)
giai phuong trinh: \(\sqrt{2x^2-1}+\sqrt{x^2-3x-2}=\sqrt{2x^2+2x+3}+\sqrt{x^2-x-1}\)
Giai phuong trinh:
\(\sqrt{x^2+2x-2}+2\sqrt{x^2+2x-2}=x+2\)
Bình phương hai vế lên ta được:
x2+2x-2+4(x2+2x-2)=(x+2)2
<=>x2+2x-2+4x2+8x-8=x2+4x+4
<=>x2+4x2-x2+2x+8x-4x-2-8-4=0
<=>4x2+6x-14=0
<=>2x2+3x-7=0
Đến đây bạn tự làm tiếp nha. Nhớ k cho mk đấy
Giai phuong trinh
\(\sqrt{x+2+3\sqrt{2x-5}}+\sqrt{x-2-2\sqrt{2x-5}}=2\sqrt{2}\)
giai phuong trinh \(x^2+\sqrt{2-x}=2x^2\sqrt{2-x}\)
\(\sqrt{x+2+3\sqrt{ }2x-5}+\sqrt{x-2-\sqrt{ }2x-5}=2\sqrt{2}\) 2\(\sqrt{2}\) giai phuong trinh
Giai phuong trinh \(\sqrt{2x^2+8x+6}+\sqrt{x^2-1}=2x+2\)
Giai phuong trinh ; 2\(\sqrt{x^2-x}-2\sqrt{x}\sqrt{2x-1}+3x=1\)
Giai phuong trinh :\(\sqrt{2-x^2+2x}+\sqrt{-x^2-6x+8}=1+\sqrt{3}\)
giai phuong trinh: \(\sqrt[3]{x^2+4x+3}+\sqrt[3]{4x^2-9x-3}=\sqrt[3]{3x^2-2x+2}+\sqrt[3]{2x^2-3x-2}\)