Answer:
D) [tex](x-4.5 )^{2} =16.25[/tex]
Step-by-step explanation:
Explanation
Given that the equation
x² - 9 x +11 =7
[tex]x^{2} -\frac{9}{2} (2x) +11=7[/tex]
[tex]x^{2} -\frac{9}{2} (2x) +(\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]
By using (a-b)² = a²-2ab+b²
[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7[/tex]
[tex](x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11-7=0[/tex]
[tex](x-\frac{9}{2} )^{2} -(\frac{81}{4}) + 4=0[/tex]
[tex](x-\frac{9}{2} )^{2} +(\frac{-81+16}{4}) =0[/tex]
[tex](x-4.5 )^{2} -16.25 =0[/tex]
Final answer:-
[tex](x-4.5 )^{2} =16.25[/tex]
