3/2 - (-1/4)

answers:

a) -1/2

b)-3/2

c) 4/5

d) 7/4

D     7/4

Step-by-step explanation:

Combining fractions with different denominators requires finding the LCD and applying it where needed.

Here, 3/2 - (-1/4)  has the LCD 4; note that both 2 and 4 go into the LCD 4 without remainders.

3/2 - (-1/4)  →    6/4 -(-1/4) = 6/4 + 1/4 = 7/4

The resulting sum is +7/4.

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)