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How do you solve 2x squared equals x plus 1 by completing the square?
Wiki User
∙ 13y ago
2x2 = x+1 => 2x2-x-1= 0
Divide all terms by 2:
x2-1/2x-1/2 = 0
Completing the square:
(x-1/4)2-1/2 = 0
(x-1/4)2-1/2-1/16 = 0
(x-1/4)2-9/16 = 0
(x-1/4)2 = 9/16
Square root both sides:
x-1/4 = -/+ 3/4
x = 1/4 -/+ 3/4
x = -1/2 and x = 1
Wiki User
∙ 13y ago
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