Question

Violet was carrying around the steps to solve square root of 3x plus 1 = 4. On her way through the Math Factory, Violet dropped them and they mixed with other steps. Put the correct steps in order to solve square root of 3x plus 1 = 4.

A. Subtract 1 from both sides B. Subtract 4 from both sides C. Square root both sides
D. Square both sides E. Divide by 3 from both sides F. Divide by 4 from both sides

Answer 1

D

Explanation:

solve square root of 3x plus 1 = 4:

D is correct and results in 3x + 1 = 16; after this we subtract 1 from both sides and end up with 3x = 15, or x = 5.

Answer 2

To solve this equation we have to first remove the square root from LHS and to remove the square we have to square both sides.

Explanation:

The quadratic equation which violet has to solve is given as

`√(3x+1)=4`................(1)

Step 1

To solve this equation we have to first remove the square root from LHS and to remove the square we have to square both sides.

After squaring both the sides we got following equation

`3x+1=16`....(2)

Step 2

now subtract 1 from both sides to remove 1 from LHS

so we will get the following equation

`3x=15`....(3)

Step 3

Now divide by 3 from both sides to remove 3 from LHS

Therefore,

`x=(15)/(3)`

`x=5`