Question

[Nguyễn Trần Duy Thiệu]

Giải pt

a.\(x+\sqrt{x+\dfrac{1}{2}+\sqrt{X+\dfrac{1}{4}}}=4\)

b.\(\sqrt{2x+4-6\sqrt{2x-5}}+\sqrt{2x-4+2\sqrt{2x-5}}=4\)

Answer 1

[Hung nguyen]

a/ \(x+\sqrt{x+\dfrac{1}{2}+\sqrt{x+\dfrac{1}{4}}}=4\)

\(\Leftrightarrow x+\sqrt{\left(\sqrt{x+\dfrac{1}{4}}+\dfrac{1}{2}\right)^2}=4\)

\(\Leftrightarrow x+\dfrac{1}{2}+\sqrt{x+\dfrac{1}{4}}=4\)

Làm nốt

Answer 2

[Hung nguyen]

b/ \(\sqrt{2x+4-6\sqrt{2x-5}}+\sqrt{2x-4+2\sqrt{2x-5}}=4\)

\(\Leftrightarrow\sqrt{\left(\sqrt{2x-5}-3\right)^2}+\sqrt{\left(\sqrt{2x-5}-1\right)^2}=4\)