Question

If the distance between two points x,7 and 1,15 is 10 find the value of x

Answer 1

Answer:

If the distance between two points (x,7) and (1,15) is 10, find the value of x. 

ANSWER

distance=(x−1)2+(7−15)2=10

or(x−1)2+82=102

(x−1)2=100−64

(x−1)2=62

if(x−1)=6

thenx=7

andif(x−1)=−6

thenx=−5

Step-by-step explanation:

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Answer 2

Distance formula = √(x - x')² + (y - y')²

» 10 = √(x - 1)² + (7 - 15)²

» 10 = √(x - 1)² + 64

» 100 = (x - 1)² + 64

» (x - 1)² = 36

» x² + 1 - 2x - 36 = 0

» x² - 2x - 35 = 0

» x² - 7x + 5x - 35 = 0

» (x - 7)(x + 5) = 0

» x = 7, -5