If m represents the number of months Janet has been reading books, the equation 4m=(m-1) represents the situation where Alex and Janet have read the same number of books. Solve the equation to find the number of months it will take for Alex and Janet to have read the same number of books?

Step-by-step explanation:

Given the expression that represents the situation where Alex and Janet have read the same number of books as

4m = m-1

where m represents the number of months Janet has been reading books,

To calculate m

STEP 1: subtract m from both sides

4m - m = -1

3m = -1

Step2; divide both sides by 3

3m/3 = -1/3

m = -1/3

Hence the value of m is -1/3

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)