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ozzi
3 years ago
6

20 POINTS !!!!!!!!!

Mathematics
1 answer:
mezya [45]3 years ago
6 0

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            

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