Question

Find X if distance between (4,-5) and (2,x) is 10units

Answer 1

Step-by-step explanation:

given points are (4,-5) and (2,x)

we know the distance formula

$distance = \sqrt{ {(y2 - y1)}^{2} + {(x2 - x1)}^{2} }$

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

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

$10 = \sqrt{{x^2 + 10x + 25} + 4 }$

$10 = \sqrt{x^2 + 10x + 29}$

squaring both side

$100 = x^2 + 10 x + 29$

$100 - 29 = x^2 + 10x$

$71 = x^2 + 10x$

$x^2 + 10x - 71$

[see the attachment ]