TRY IT
Solving Equations Containing Rational
Exponents
Complete the work shown to find a possible
solution of the equation.
(x - 5)2 + 5 = 2
(x - 5)Z = -3
(x - 5)2 = (-37
A possible solution of the equation is
DONE

One possible solution is 5 + i√3.

(there are 2 solutions 5 + i√3 and 5 - i√3).

Step-by-step explanation:

(x - 5)^2 + 5 = 2

(x - 5)^2  = -3

Take square roots of both sides:

x - 5 = √-3

x - 5 = i√3

x = 5 ±  i√3.

The solutions are both complex numbers.

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.