SOLUTION: what is 7 plus or minus the square root of 24 over 2?

Question 84041: what is 7 plus or minus the square root of 24 over 2?

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Presuming that you don't mean that only the square root of 24 is divided by 2, your problem
is to find:
.

.
This has two answers ... one answer involves the plus sign and the other answer involves
the minus sign. In other words, the answers to your question are:
.
and
.
You can find using a calculator. You should find that
.
Substituting that number for in the two answers results in the two answers
becoming:
.
and
.
In the first answer the two terms in the numerator add to give 11.898979486 so this answer
becomes:
.
and dividing the 2 into the numerator of 11.898979486 results
in that answer becoming:
.

.
In the second answer the two terms of the numerator are subtracted. This subtraction
(7 - 4.898979486) results in 2.101020514. Substituting this value for the numerator
of the second answer, results in the second answer becoming:
.

.
In summary, your original problem has two answers:
.
and
.
Hope this work helps you to understand how to evaluate expressions of the form that you
have in this problem.
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