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Determine both solutions to the equation 100+(n-2)^2=149

User GrZeCh
by
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1 Answer

2 votes

answer: n = -5 or 9

steps:

100 + (n - 2)² = 149

step 1: expand

100 + n² - 4n + 4 = 149

100 + n² - 4n + 4 = 149step 2: rearrange

100 + n² - 4n + 4 = 149step 2: rearrangen² - 4n + 100 + 4 - 149 = 0

100 + n² - 4n + 4 = 149step 2: rearrangen² - 4n + 100 + 4 - 149 = 0n² - 4n - 45 = 0

step 3: simplify

n² - 4n - 45 = 0

(n + 5) (n - 9) = 0

step 4: answer

n + 5 = 0 or n - 9 = 0

n = -5 or n = 9

User Jooyoun
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