Question

Please help me thank you in advance!

Answer 1

Answer:

D) $(x-4.5 )^{2} =16.25$

Step-by-step explanation:

Explanation

Given that the equation

   x² - 9 x +11 =7

 $x^{2} -\frac{9}{2} (2x) +11=7$

$x^{2} -\frac{9}{2} (2x) +(\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7$

By using (a-b)² = a²-2ab+b²

$(x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11=7$

$(x-\frac{9}{2} )^{2} -(\frac{9}{2}) ^{2}+ 11-7=0$

$(x-\frac{9}{2} )^{2} -(\frac{81}{4}) + 4=0$

$(x-\frac{9}{2} )^{2} +(\frac{-81+16}{4}) =0$

$(x-4.5 )^{2} -16.25 =0$

Final answer:-

$(x-4.5 )^{2} =16.25$