Question

GPT:

a,\(\left(\sqrt{x+5}-\sqrt{x+2}\right)\left(\sqrt{x^2+7x+10}+1\right)=3\)

b,\(x^2+9x+20=2\sqrt{3x+10}\)

 

Answer 1

chịu =))))))))))

Answer 2

a)

\(\Leftrightarrow\sqrt{\left(x+2\right)\left(x+5\right)}+1=\sqrt{x+5}+\sqrt{x+2}\\ \)

\(a+b-ab=1\)\(\Leftrightarrow\left(a-1\right)\left(1-b\right)=0\)

\(\orbr{\begin{cases}a=1\Rightarrow\sqrt{x+2}=1\Rightarrow x=-1\\b=1\Rightarrow\sqrt{x+5}=1\Rightarrow x=-4\end{cases}}\)

b)

\(-\left(x+3\right)^2=\left(3x+10\right)-2\sqrt{3x+10}+1=\left(\sqrt{3x+10}-1\right)^2\)

Nghiệm duy nhất có thể x+3=0

với x=-3 có VP=0

=> x=-3 là nghiệm duy nhất