If x^2 = 169, what is x - 5
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First we need to find the value of x.
Taking the square root of both sides of x^2 = 169:
√x^2 = ±√169
x = ±13
Since we are looking for x - 5, we need to subtract 5 from the value of x we found:
x - 5 = ±13 - 5
x - 5 = 8 or x - 5 = -18
Therefore, there are two possible values for x - 5:
x - 5 = 8 or x - 5 = -18
To find the value of x - 5, let's first solve for x in the equation x^2 = 169.
Taking the square root of both sides of the equation, we have:
√(x^2) = ±√169
Simplifying, we get:
x = ±13
Now, substitute the values of x into the expression x - 5:
For x = 13,
13 - 5 = 8
For x = -13,
-13 - 5 = -18
Therefore, x - 5 equals either 8 or -18.
To find the value of x - 5, we first need to solve for x in the equation x^2 = 169.
Step 1: Take the square root of both sides of the equation.
√(x^2) = √169
Simplifying, we have:
|x| = 13
Step 2: We consider both the positive and negative square root of 13 since squaring any real number will result in a positive value.
Therefore, we have two possibilities for x:
x = 13 or x = -13
Step 3: Now substitute the values of x into the expression x - 5.
For x = 13:
13 - 5 = 8
For x = -13:
-13 - 5 = -18
So, the possible values for x - 5 are 8 and -18.