Question

if distance between points (x,3)and(5,7)is 5then find the value of x​

Answer 1

Answer:

x= 2,8

Step-by-step explanation:

$distance \: between \: two \: points \: of \: (x1 \: y1) \: (x2 \: y2) \\ \\ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

( x1, y1 ) = ( x, 3)

( x2, y2) = ( 5,7)

Distance =

$\sqrt{ {(5 - x)}^{2} + {(7 - 3)}^{2} } = 5$

$\sqrt{(25 - 10x + {x}^{2}) + {4}^{2} } = 5$

$25 - 10x + {x}^{2} + 16 = 25$

${x}^{2} - 10x + 16 = 0$

$x = 2 \\ x = 3$