SOLUTION: Find the value of "a" if the points are the indicated distances apart. (2,a) and (-3,-2) when d = square root of 34

Question 59974This question is from textbook Alegbra Concepts and Applications
: Find the value of "a" if the points are the indicated distances apart.
(2,a) and (-3,-2) when d = square root of 34 This question is from textbook Alegbra Concepts and Applications

Found 2 solutions by funmath, jenrobrody:
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Find the value of "a" if the points are the indicated distances apart.
(2,a) and (-3,-2) when d = square root of 34
The distance formula is
(x1,y1)=(2,a), (x2,y2)=(-3,-2) d=

Set = to 0
factor
(a+5)(a-1)=0 Use the zero product property.
a+5=0 and a-1=0
a+5-5=0-5 and a-1+1=0+1
a=-5 and a=1
There's two possibilities. Use the distance formula and see that both have a distance of .
Happy Calculating!!!
Answer by jenrobrody(19) (Show Source): You can put this solution on YOUR website!
(2,a) and (-3,-2) when d = square root of 34

square both sides:

so either a+5=0 or a-1=0
which gives two values for a: -5 and 1

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