Question

помогите
$5 - \sqrt{x} = x - 1$
​

Answer 1

$\displaystyle 5-\sqrt{x}=x-1\\-\sqrt{x}=x-1-5\\-\sqrt{x} =x-6\\\sqrt{x} =-x+6\\x=36-12x+x^2\\x-36+12x-x^2=0\\13x-36-x^2=0\\-x^2+13x-36=0\\x^2-13x+36=0\\x^2-4x-9x+36=0\\x(x-4)-9(x-4)=0\\(x-4)(x-9)=0\\x-4=0,x-9=0\\x=4,x=9\\5-\sqrt{4}=4-1,5-\sqrt{9}=9-1\\x=4,x\neq 9\\x=4$