How do you solve #x^ { 2} + 5^ { 3} = 269#?

1 Answer
smendyka
Jul 16, 2017

See a solution process below:

Explanation:

First, evaluate the term #5^3#:

#x^2 + 5^3 = 269#

#x^2 + 125 = 269#

Next, subtract #color(red)(125)# from each side of the equation to isolate #x^2# while keeping the equation balanced:

#x^2 + 125 - color(red)(125) = 269 - color(red)(125)#

#x^2 + 0 = 144#

#x^2 = 144#

Now, take the square root of each side of the equation to solve for #x# while keeping the equation balanced. Remember, the square root of a number produces both a positive and negative result:

#sqrt(x^2) = +-sqrt(144)#

#x = +-12#

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