\(2\sqrt{x^2-7x+10}=x+\sqrt{x^2-12x+20}\)
cho phương trình \(2\sqrt{x^2-7x+10}=x+\sqrt{x^2-12x+20}\)
giải bằng phương pháp nhân một lượng liên hợp nhá
giải xong mink tick
2. Giải PT:
a) \(\frac{9x-7}{\sqrt{7x+5}}=\sqrt{7x+5}.\)
b) \(\sqrt{4x-20}+3\sqrt{\frac{x-5}{9}}-\frac{1}{3}\sqrt{9x-45}=4.\)
c) \(2x-x^2+\sqrt{6x^2-12x+7}=0.\)
d) \(\left(x+1\right)\left(x+4\right)-3\sqrt{x^2+5x+2}=6.\)
1. \(\sqrt{2x-3}+\sqrt{5-2x}=3x^2-12x+14\)
2. \(\frac{6x-3}{\sqrt{x}-\sqrt{1-x}}=3+2\sqrt{x-x^2}\)
3. (\(\sqrt{x+5}-\sqrt{x+2}\))(\(1+\sqrt{x^2+7x+10}\))=3
4. \(x^2+\sqrt{x+2004}=2004\)
Giai PT:
a,\(x^2-7x+\sqrt{x^2-7x+8}=12\)
b,\(\sqrt{3x^2+12x+16}+\sqrt{y^2+4x^2+13}=5\)
c.\(\sqrt{x-3}+\sqrt{5-x}=x^2-8x+18\)
câu 1:\(\sqrt{7x^2+20x-86}+x\sqrt{31-4x-x^2}=x+1\)
câu 2:\(\sqrt[3]{\frac{12x^2+12x+9}{4}}=x+\sqrt[4]{\frac{4x^3-2}{3}}\)
6) \(\sqrt{x^2+12x+36}=-x-6\)
7) \(\sqrt{9x^2-12x+4}=3x-2\)
8) \(\sqrt{16-24x+9x^2}=2x-10\)
9) \(\sqrt{x^2-6x+9}==2x-3\)
10) \(\sqrt{x^2-3x+\dfrac{9}{4}}=\dfrac{3}{x}x-4\)
GPT:
1/ \(\sqrt{7x^2+20x-86}+x\sqrt{31-4x-x^2}=x+1\)
2/ \(\sqrt[3]{\frac{12x^2+12x+9}{4}}=x+\sqrt[4]{\frac{4x^3-2}{3}}\)
GPT:
a,\(\left(\sqrt{x+5}-\sqrt{x+2}\right)\left(\sqrt{x^2+7x+10}+1\right)=3\)
b,\(x^2+9x+20=2\sqrt{3x+10}\)