Question

If the distance between Point P(2,2) and Q(5,x) is 5 then x= ? *
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Answer 1

Step-by-step explanation:

Distance between two points (x,y),(a,b)

=√(x-a)^2+(y-b)^2

Distance between P(2,2) and Q(5,x)=5

√(2-5)^2+(2-x)^2=5

squaring on both sides

(-3)^2+(2-x)^2=25

9+(2-x)^2=25

(2-x)^2=16

x^2-4x+4=16

x^2-4x-12=0

x^2-6x+2x-12=0

x(x-6)+2(x-6)=0

(x+2)(x-6)=0

x=-2,x=6