Hi! I need some assistance with these two problems. Thanks in advance!
1)
2)
2. Hint: Add 3 to both sides, then square both sides.
Subsituting 0 will get a complex number
1.) Here is an example
x=2 is has potential for extraneous roots because if you square both sides, and get x2=4, there are other possible solutions that DON'T solve the original equation.
Based on that, what do you think the answer is?
Solve for x:
sqrt(x^2 - 9) - 3 = 0
Isolate terms with x to the left hand side.
Add 3 to both sides:
sqrt(x^2 - 9) = 3
Eliminate the square root on the left hand side.
Raise both sides to the power of two:
x^2 - 9 = 9
Isolate terms with x to the left hand side.
Add 9 to both sides:
x^2 = 18
Eliminate the exponent on the left hand side.
Take the square root of both sides:
x = 3 sqrt(2) or x = -3 sqrt(2)