Question

$\sqrt{3x + 4} = 7$
​

Answer 1

Answer:

x = 3

Step-by-step explanation:

STEP 1

:

Isolate the square root on the left hand side

Original equation

√3x+4 = 7

Isolate

√3x = -4+7

Tidy up

√3x = 3

STEP

2

:

Eliminate the radical on the left hand side

Raise both sides to the second power

(√3x)2 = (3)2

After squaring

3x = 9

STEP

3

:

Solve the linear equation

Rearranged equation

3x -9 = 0

Add 9 to both sides

3x = 9

Divide both sides by 3

A possible solution is :

x = 3

STEP

4

:

Check that the solution is correct

Original equation, root isolated, after tidy up

√3x = 3

Plug in 3 for x

√3•(3) = 3

Simplify

√9 = 3

Solution checks !!

Solution is:

x = 3

One solution was found :

x = 3