Answer:
[tex]y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})[/tex]
Step-by-step explanation:
You first equate it to zero to get:
[tex]-1.02(x-3)^2+9.25=0[/tex]
Then solve using square root method
[tex]-1.02(x-3)^2=-9.25[/tex]
[tex](x-3)^2=\frac{-9.25}{-1.02}[/tex]
[tex](x-3)^2=\frac{925}{102}[/tex]
[tex]x=3\pm\sqrt{\frac{925}{102}}[/tex]
Or
[tex]x=3\pm{\frac{5\sqrt{3774}}{102}}[/tex]
[tex]x={\frac{306\pm5\sqrt{3774}}{102}}[/tex]
Now work it backwards
[tex]102x-(306\pm5\sqrt{3774})=0[/tex]
[tex](102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})=0[/tex]
Hence the factored form is:
[tex]y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})[/tex]
