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motikmotik
4 years ago
12

Complete the square x^2+18x=44

Mathematics
2 answers:
Ghella [55]4 years ago
8 0

Set the equation to 0. Subtract 44 from both sides

x^2+18x=44

x^2 + 18x (-44) = 44 (-44)

x² + 18x - 44 = 0

x 22

x -4

(x + 22)(x - 4) = 0 is your answer

hope this helps

ANEK [815]4 years ago
5 0
Take 1/2 of linear coefient and square it
18 is linear coefient so 18/2=9, 9^2=81
add that to both sides
x^2+18x+81=125
factor perfect square trionomial
(x+9)^2=125
there, completed the square

if you want to solvesquare root both sides, don't forget positive and negative roots
x+9=\pm \sqrt{125} 
x=-9 \pm 5\sqrt{5}

x=-9+5\sqrt{5} and x=-9-5\sqrt{5}
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