On a number line, the coordinates of J, K, L, M, N are −10.5, −4, −1, 1.5, 4 respectively. Find the lengths of the two segments. Are they congruent? JL¯¯¯¯¯ and KN¯¯¯¯¯¯ A. JL = 12, KN = 8; no B. JL = 12, KN = 8; yes C. JL = 9.5, KN = 8; yes D. JL = 9.5, KN = 8; no

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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step-by-step explanation: