Answer:
n = 2
Step-by-step explanation:
In order for the ratio to have a value of 1, the sum of exponents in the numerator must equal the sum of exponents in the denominator:
n + 7 = 9
n = 9 -7 . . . . . . subtract 7 from both sides of the equation
n = 2
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Alternatively, you can simplify the given expression:
Hopefully, it is clear to you that the value of n must be 2 in order to make the numerator equal to the denominator.
Move constant to the right-hand side and change its sign
2x^2 + 8 = -2 + 7
-2 + 7 = 5
Divide both sides of the equation by
x^2 + 4x = 5/2
Add (4/2^2) to both sides of the equation
x^2 + 4x + (4/2)^2 = 5/2 + (4/2)^2
factor the expression
(x + 4/2)^2 = 13/2
reduce the fraction by 2
(x + 2)^2 = 13/2
now solve equation for x
The missing exponent of 1/169=(1/13)