Question

On a coordinate grid, the distance between point F and point G is 13 units. Point F is located at (-1, 3). Point G is located at (x, -9). Which value could be the value of x?

Answer 1

Using the distance formula i was able to calculate x=-6

Answer 2

(x+1)² + (-9-3)² = 13²
x² + 2x + 1 + 144 = 169
x² + 2x + 145 - 169 = 0
x² + 2x - 24 = 0
D = 4 + 96 = 100 = 10²
x₁ = (-2-10)/2 = -6
x₂ = (-2+10)/2 = 4

Аnswer: x=-6 or x=4