GPT :\(5\sqrt{x-1}-\sqrt{x+7}=3x-4\)
gpt : a. \(x^2-7x=6\sqrt{x+5}-30\)
b. \(\sqrt{3x^2-5x+1}-\sqrt{x^2-2}=\sqrt{3\left(x^2-x-1\right)}-\sqrt{x^2-3x-4}\)
Gpt : a) \(\sqrt{x-1}+\sqrt{x+3}+2\sqrt{\left(x-1\right)\left(x^2-3x+5\right)}=4-2x\)
b) \(\sqrt[4]{1-x}+\sqrt[4]{2-x}=\sqrt[4]{3-2x}\)
c) \(\sqrt{x+1}+\sqrt{x+10}=\sqrt{x+2}+\sqrt{x+5}\)
gpt:
1, (17-6x)\(\sqrt{3x-5}\) + (6x-7)\(\sqrt{7-3x}\) =2 + 8\(\sqrt{36x-9x^2-35}\)
2, \(\left(\dfrac{x-1}{x+2}\right)^2-\dfrac{15}{x^2-4}+4\left(\dfrac{x+1}{x-2}\right)^2=5\)
gpt
\(3x-1+\dfrac{x-1}{4x}=\sqrt{3x+1}\)
gpt : a) \(\frac{5x}{\sqrt{4-x^2}}+\frac{8}{x^2}+\frac{2x}{4-x^2}+\frac{5\sqrt{4-x^2}}{x}+4=0\)
b) \(\frac{2x}{\sqrt{8x^2+25}}+\frac{125}{x^2}-14=0\)
c) \(\left(x^3-3x+2\right)\sqrt{3x-2}-2x^3+6x^2-4x=0\)
d) \(\sqrt{x^2-x+6}+\frac{4}{x-1}=x^2+x\)
GPT
\(x^2-3\sqrt[3]{3x-2}-12+\frac{1}{\sqrt{x}}=\frac{\sqrt{x}+8}{x}\)
gpt
\(4\sqrt{x+4}+\sqrt{16-3x}=x^2+4x+12\)
gpt:
1, (x-2)3+(2x-4)3+(7-3x)3=1
2, x4 - 2x3 + x - \(\sqrt{2\left(x^2-x\right)}\) = 0.