Question

20 POINTS !!!!!!!!!

Answer 1

Answer:

x =  x = 9 ±$\sqrt{13}$  or x ≈ 12.61 or  x ≈ 5.39

Step-by-step explanation:

x² - 18x + 68            Solve by completing the square.

x² - 18x = - 68    

Now complete the square and add that number to both sides of the equation.

1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .

x² - 18x + 81  = -68 + 81

(x - 9) (x - 9) = 13                  Now find the square root of both sides

$\sqrt{(x - 9)(x - 9)}$ =$\sqrt{13}$            Solve

x - 9 = ±$\sqrt{13}$                         Solve for x

x = 9 ±$\sqrt{13}$  

x = 9 + $\sqrt{13}$    or  x = 9 - $\sqrt{13}$      

x ≈ 12.61      or x ≈ x  5.39