Answer: [tex](r-s)^{2} = 28[/tex]
Step-by-step explanation:
- [tex]x^{2} -6x+9=-2+9[/tex]
- [tex](x-3)^{2}=7[/tex]
- [tex](x-3)= -\sqrt{7}[/tex] or [tex]\sqrt{7}[/tex] <-- there's no plus/minus sign.
- [tex](x-3) = -\sqrt{7}[/tex]
- [tex]x = 3 -\sqrt{7}[/tex] <-- root.
- [tex](x-3) = \sqrt{7}[/tex]
- [tex]x = 3+\sqrt{7}[/tex] <-- root.
- [tex][(3-\sqrt{7})-(3+\sqrt{7})]^{2}[/tex]
- [tex](3-\sqrt{7} -3 - \sqrt{7})^{2}[/tex] <-- don't forget to distribute the negative.
- [tex](-2\sqrt{7})^{2}[/tex]
- [tex](4)(7)[/tex]
- [tex]28[/tex]
