SOLUTION: Find the other endpoint of a line segment with the given midpoint and one endpoint (I need major help on these) Endpoint: ( 6, -1); Midpoint: (15/2, 2) A. (9,5) B. (2, 15/2)

Question 318144: Find the other endpoint of a line segment with the given midpoint and one endpoint (I need major help on these)
Endpoint: ( 6, -1); Midpoint: (15/2, 2)
A. (9,5) B. (2, 15/2) C. (-3, -6) D. (15,4)
Use the discriminant to determine how many real-number solutions the equation has.
v2 - 7v + 5 = 0
A. 2 B. 1 C. 0

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The midpoint of the points (a,b) and (c,d) is (p,q) where and . In this case, , , and . Plug these values in to get:

and

I'll let you solve those equations.

---------------------------------------------------------------

From we can see that , , and

Start with the discriminant formula.

Plug in , , and

Square to get

Multiply to get

Subtract from to get

Since the discriminant is greater than zero, this means that there are two real solutions.

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