gợi ý nhé
nhận thấy 2x2+11x+19=2x2+5x+7+6(x+2)
đặt ẩn phụ: căn(2x2+5x+7) = a và 3(x+2)=b
=) pt căn(a2+2b)+a=b (=) b(b-2a-2)=0 rồi giải từng trường hợp
Các câu hỏi tương tự
giai phuong trinh : \(2x^2\left(5-\sqrt[3]{5x-x^3}\right)=2x^3+17x-8\)
giai phuong phuong trinh : \(\sqrt{2x^2+5x-3}-\sqrt{2x-1}=0\) 0
CM: \(|ab+cd|\subseteq\sqrt{\left(a^2+c^2\right)\left(b^2+d^2\right)}\)
giai phuong trinh:
\(\left(\sqrt{x+4}-2\right)\left(\sqrt{4-x}+2\right)=2x\)
Giai phuong trinh
\(\sqrt{x.\left(x-1\right)}+\sqrt{x\left(x+2\right)}=2x\)
giai phuong trinh
\(\left(2x-1\right)^2=12\sqrt{x^2-x-2}-1\)
1)7sqrt{3x-7}+left(4x-7right)sqrt{7-x}322)4x^2-11x+6left(x-1right)sqrt{2x^2-6x+6}3)9+3sqrt{xleft(3-2xright)}7sqrt{x}+5sqrt{3-2x}4)sqrt{2x^2+4x+7}x^4+4x^3+3x^2-2x-75)frac{6-2x}{sqrt{5-x}}+frac{6+2x}{sqrt{5+x}}frac{8}{3}6)2left(5x-3right)sqrt{x+1}+left(x+1right)sqrt{3-x}3left(5x+1right)7)sqrt{7x+7}+sqrt{7x-6}+2sqrt{49x^2+7x-42}181-14x
Đọc tiếp
1)\(7\sqrt{3x-7}+\left(4x-7\right)\sqrt{7-x}=32\)
2)\(4x^2-11x+6=\left(x-1\right)\sqrt{2x^2-6x+6}\)
3)\(9+3\sqrt{x\left(3-2x\right)}=7\sqrt{x}+5\sqrt{3-2x}\)
4)\(\sqrt{2x^2+4x+7}=x^4+4x^3+3x^2-2x-7\)
5)\(\frac{6-2x}{\sqrt{5-x}}+\frac{6+2x}{\sqrt{5+x}}=\frac{8}{3}\)
6)\(2\left(5x-3\right)\sqrt{x+1}+\left(x+1\right)\sqrt{3-x}=3\left(5x+1\right)\)
7)\(\sqrt{7x+7}+\sqrt{7x-6}+2\sqrt{49x^2+7x-42}=181-14x\)
giai phuong trinh \(\sqrt{x^2+2x}-x-1+\frac{2\left(x-1\right)}{\sqrt{x^2+2x}}=0\) (Nguyễn Du BMT 2017 -2018)
giai phuong trinh
\(\sqrt{2x-3}+\sqrt{5x-2}=3x^2-12x+14\)
tim nghiem nguyen cua phuong trinh: \(\left(x^2+1\right)\sqrt{1-x}-\left(2x+x^3\right)\sqrt{x+1}=3x^4\sqrt{2x}\)