Question

If the distance between the points (-3, 3) and (4, y) be 5√2 units then find the value of y.​

Answer 1

Answer:

2,4

Step-by-step explanation:

Distance formula says

Root (x2-x1) ² + (y2-y1) ² = distance between two points

Root (4-(-3))² + (y-3)²) = 5 root 2

Root (7)² +y²+9-6y= root 50

Root 58+y²-6y = root 50

Squaring both sides

y²-6y+58=50

y²-6y +8=0

y²-4y-2y+8=0

y(y-4)-2(y-4)

(y-2)(y-4)

y can be 2 or 4