Question

Решить уравнение. Помогите пожалуйста:)

Answer 1

$\sqrt{3x+2} +\sqrt{x-1} = \sqrt{4x+1} \\3x+2+2\sqrt{(3x+2)*(x-1)} +x-1=4x+1\\4x+1+2\sqrt{(3x+2)*(x-1)} =4x+1\\2\sqrt{(3x+2)*(x-1)} =0\\\sqrt{(3x+2)*(x-1)} =0\\(3x+2)*(x-1)=0\\\left \{ {{3x+2=0} \atop {x-1=0}} \right. \\\\left \{ {{x=-\frac{2}{3} } \atop {x=1}} \right. \\\\x\neq -\frac{2}{3} \\x=1$ ответ:x=1