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Which of the following are solutions to the equation below x^2-2x+49=11x+7

User Erwin
by
6.6k points

1 Answer

3 votes

Answer:

x₁ = 6

x₂ = 7

Explanation:

x² - 2x + 49 = 11x + 7

x² - 2x + 49 - 11x - 7 = 0

x² - 13x + 49 - 7 = 0

x² - 13x + 42 = 0

x² - 6x - 7 + 42 = 0

x*(x - 6) - 7x + 42 = 0

x*(x - 6) - 7(x -6) = 0

(x - 6) * (x - 7) = 0

x - 6 = 0 → x = 6

x - 7 = 0 → x = 7

Hope this helped! :)

User Cguedel
by
7.2k points
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