1 Answer

Victor Zakharov · Answer 1 · 2023-02-07T19:35:10+0000

Try to find x from the equality

$x+1=\sqrt[]{x-2}$
$\begin{gathered} (x+1)^2=x-2 \\ x^2+2x+1=x-2 \\ x^2+2x-x+1+2=0 \\ x^2+x+3=0 \end{gathered}$

we can use this equation to solve x

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

were a =1, b=1 and c=3

so replacing

$\begin{gathered} x=\frac{-1\pm\sqrt[]{1^2-4(1)(3)}}{2(1)} \\ \\ x=\frac{-1\pm\sqrt[]{1-12}}{2} \\ \\ x=\frac{-1\pm\sqrt[]{-11}}{2} \end{gathered}$

the negative number within the root indicates that the solution is imaginary

so the solution can not be determined from the graph

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