SOLUTION: Find all points on the y-axis that are a distance 7 from P(5, 9).

Question 992588: Find all points on the y-axis that are a distance 7 from P(5, 9).
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
Point(,)=(,)
Point(.)=(,)
d=distance=7
.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=96 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 13.8989794855664, 4.10102051443364. Here's your graph:

.
y=4.1 or 13.9
.
ANSWER: There are two points: (0,4.1) and (0,13.9)
.

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