Question 41355
Solve 9x^2=14

This problem involves solving for x by finding the square root of each term.  First, isolate the x term by dividing both sides by 9:

9x^2/9 =14/9

x^2 = 14/9
Since the x term is squared, it can be "undone" by taking the square root of x. Since this is an equation, you must also take the square root of the other side:

sq root[x^2] = sq root[14/9]

x = sq root[14]/3

Check your answer by plugging the value of x back into the original problem:

9[(sq. root 14)/3]^2 = 14

9(14)/9 = 14

Cancelling out:
14 = 14