Which of the following equations has only one solution?
x 2 = 9
x(x - 1) = 9
x 2 - 6x + 9 = 0

Question

Asked 5/16/2014 9:18:53 AM

Updated 5/16/2014 4:28:28 PM

2 Answers/Comments

This conversation has been flagged as incorrect.

Multiply 2 on both sides:

x^2 - 2x + 10 = 0, with coefficient a = 1, b = -2, c = 10

b^2 - 4ac = (-2)^2 - 4(1)(10) = 4 - 40 = - 36 < 0 (there are two complex solutions)

x = [2 +/- sqrt (-36)/]/2 = 1 +/- 3i

The two solutions are 1 + 3i, 1 - 3i

mystery2334|Points 91|

Question

Asked 5/16/2014 9:18:53 AM

Updated 5/16/2014 4:28:28 PM

2 Answers/Comments

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3

The following equation with only one solution is: x^2 - 6x + 9 = 0.

x^2 - 6x + 9 = 0.

(x - 3)^2 = 0

x = 3

x^2 - 6x + 9 = 0.

(x - 3)^2 = 0

x = 3

Added 5/16/2014 4:26:09 PM

This answer has been confirmed as correct and helpful.

Confirmed by andrewpallarca [5/17/2014 12:35:59 AM]

3

The distance between the points (3, 8) and (-1, 9) is sqrt(17).

Added 5/16/2014 4:28:28 PM

This answer has been confirmed as correct and helpful.

Confirmed by andrewpallarca [5/17/2014 12:36:01 AM]

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