SOLUTION: Solve the equation by extracting square roots - list both the exact solution and the decimal solution rounded to two decimal places. (x+13)^2 = 25

Question 119461This question is from textbook Trigonometry
: Solve the equation by extracting square roots - list both the exact solution and the decimal solution rounded to two decimal places.
(x+13)^2 = 25 This question is from textbook Trigonometry

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Take the square root of both sides

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Subtract 13 from both sides to isolate x.

Break down the expression into two parts:

or

Now combine like terms for each expression:

or

-----------------------------------
Answer:
So our solution is

or

Notice when we graph the equations and we get:

graph of (red) and (green)

Here we can see that the two equations intersect at x values of and , so this verifies our answer.

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