What Values of X will make x2 (Exponent of 2) =16 true? HEL!!
A)4 AND -4
B)2
C)4
D)6 AND -6

A

Step-by-step explanation:

Given

x² = 16 ( take the square root of both sides )

= ± ← note plus or minus sign

x = ± 4

Since 4² = 4 × 4 = 16 and

(- 4)² = - 4 × - 4 = 16

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)