You can put this solution on YOUR website! problem 1:
(x+1)^2 = 9
take the square root of both sides of this equation to get:
x+1 = 3
subtract 1 from both sides of this equation to get:
x = 2
problem 2:
x^2 = 121
take the square root of both sides of this equation to get:
x = 11
In his post, tutor @Theo lost some solutions to given equations.
So, his treatment of the problem is incomplete.
I came to bring a correct complete solutions.
- - - - - - - - Equation (1) - - - - - - - -
(x+1)^2 = 9
Take square root of both sides. You will get
(x+1) = +/-3.
It means that we have two cases.
Case 1. x+1 = 3. Then x = 3-1 = 2.
Case 2. x+1 = -3. Then x = -3-1 = -4.
So, equation (1) has two solutions. They are x = 2 and x = -4.
Check. Substitute these values into equation (1) to make sure that they suit perfectly.
- - - - - - - - Equation (2) - - - - - - - -
x^2 = 121
Take square root of both sides. You will get
x = +/-11.
It means that the equation has two solutions, x = 11 and x = -11.
CHECK. Substitute these values into equation (2) to make sure that they suit perfectly.
Solved correctly.
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It might seem the loss of roots is a minor issue.
In fact, it is not so.
Loss of roots is a failed test of understanding square roots.
So, solving this equation correctly or incorrectly is an easy way
to check if a person does understand the subject.
In 10 seconds, everything became clear.
