Find AB

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Elementary College Geometry
Question 5 Page 7

View attachment 464

AB = BC

x^2 - 10 = 3x

x^2 - 3x -10 = 0

Solving for x, I got x = -2, x =5.

I know that AB is distance and so AB must be positive.

I will test each x-value to see which one yields a positive value.

AB = x^2 -10

Let x = -2

AB = (-2)^2 - 10

AB = 4 -10

AB = -6. . .reject

Let x = 5

AB = (5)^2 - 10

AB = 25 - 10

AB = 15
 

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