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Tatiana [17]
4 years ago
12

Solve the equation by completing the square x^2-14x+45=0

Mathematics
1 answer:
nikklg [1K]4 years ago
3 0
X² - 14x + 45 = 0

Complete the square of (x² -14x + ??²), the (??)² will be  the missing square.

We know 14x = (2.x).(??) → then ?? = 14/2 and ?? = 7 or (??)² = 49
Then x² - 14.x  + 49 - 49 +45
(x² - 14.x  + <span>49) -49 + 54

(x-7)</span>² -4 = 0

(x-7)² = 4

√(x-7)<span>² = </span>√4
(x-7) = + or - 2

and x = +2 +7 = 9  or x = -2 +7 =5, then the solutions are x' = 9 & x" = 5

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