how to calculate and see that for what value of y the distance of the two points (2,y) and (10,-9) will be 10
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√(10-2)^2 + (-9-y)^2 =10
√64+ 81 +18y+y^2 =10
Sqauring on both sides
64+81+18y+y^2 =100
y^2 + 18y + 145 =100
y^2 +18y + 45=0
y^2 + 15y +3y + 45=0
y(y +15) + 3(y+15)=0
(y+3)(y+15)=0
y= -3 or -15
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