Answer:
Number: 28.25
Solution to Quadratic: [tex]x=\frac{9}{2}\pm\frac{\sqrt{113}}{2}}[/tex]
Step-by-step explanation:
[tex]x^2-9x-8=0[/tex]
[tex]x^2-9x-8+28.25=0+28.25[/tex] <-- 28.25 is the number you need to add
[tex]x^2-9x+20.25=28.25[/tex]
[tex](x-4.5)^2=28.25[/tex]
[tex]x-4.5=\pm\sqrt{28.25}[/tex]
[tex]x=4.5\pm\sqrt{28.25}[/tex]
[tex]x=\frac{9}{2}\pm\sqrt{\frac{113}{4}}[/tex]
[tex]x=\frac{9}{2}\pm\frac{\sqrt{113}}{2}}[/tex]
