Question

[Tôm Tớn]

Tìm x, biết:

a, \(\sqrt{4x+20}-3\sqrt{5+x}+\frac{4}{3}\sqrt{9x+45}=6\)

b, \(\sqrt{25x-25}-\frac{15}{2}\sqrt{\frac{x-1}{9}}=6+\sqrt{x-1}\)

Answer 1

[Ngọc Vĩ]

a. \(\Rightarrow2\sqrt{x+5}-3\sqrt{x+5}+4\sqrt{x+5}=6\Rightarrow\sqrt{x+5}\left(2-3+4\right)=6\Rightarrow\sqrt{x+5}=2\Rightarrow x+5=4\Rightarrow x=-1\)

b.\(\Rightarrow5\sqrt{x-1}-\frac{5}{2}\sqrt{x-1}-\sqrt{x-1}=6\Rightarrow\sqrt{x-1}\left(5-\frac{5}{2}-1\right)=6\Rightarrow\sqrt{x-1}=4\Rightarrow x-1=16\Rightarrow x=17\)

Answer 2

[Trần Đức Thắng]

Mình làm ý a thôi nha còn ý b tương tự