Question

Find x so the distance between(x, 1) and (1, 2) is square root of 17?

Answer 1

Step-by-step explanation:

according to the formula

√(x1-x2)^2 - (y1-y2)^2

=√(x-1)^2 -(1-2)^2 =√17

squaring both sides

(x-1) ^2 - (-1)^2 =17

x^2 -2x +1 +1 =17

x^2 -2x-15=0

x^2 -5x+3x -15=0

x(x-5) +3(x-5) =0

(x-5) (x-3) =0

therefore possible value of x=3 and 5