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

x₁ = 6

x₂ = 7

Step-by-step 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! :)

answer:

pearl completed the proof incorrectly.

step-by-step explanation:

the only difference between the two proofs are the second line where they mentioned different reasons for the same proof. akl and gkb are vertical angles, not adjacent angles as adjacent angles share a vortex while vertical angles are opposite each other, which is the case in this diagram .