Solve the equation by completing the square. round to the nearest hundredth if necessary. x^2-6x=20

Question

Chad Mayer

Mathematics

5 May, 10:49

Solve the equation by completing the square. round to the nearest hundredth if necessary. x^2-6x=20

+4

Answers (2)

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Omar Lopez · Answer 1

X^2 - 6x = 20

x^2 - 6x + 9 = 20 + 9

(x - 3) ^2 = 29

x - 3 = (+-) sqrt 29

x = 3 (+-) sqrt 29

x = 3 (+-) 5.39

x = 3 + 5.39 = 8.39 <=

x = 3 - 5.39 = - 2.39 <=

Simon · Answer 2

X^2-6x + (b/2) ^2=20 + (b/2) ^2

x^2-6x + (6/2) ^2=20 + (6/2) ^2

x^2-6x + (3) ^2=20 + (3) ^2

x^2-6x+9=20+9

(x-3) ^2=29

x-3=5.38 or - 5.38

x=5.38+3 or - 5.38+3

x=8.38 or - 2.38