I need to find both of the solutions to the equation 100+(n-2)^ = 149

The solutions of the given equation are -5 and 9

The given equation:

To find:

The solutions of n are obtained by expanding the given equation;

Thus, the solutions of the given equation are -5 and 9

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Step-by-step explanation:

hello :

100+(n-2)² = 149

100-100+(n-2)² = 149-100

(n-2)² = 49  

(n-2)² - 49  =0    but 49=7²

(n-2)² - 7²  =0   use identity : a²-b²=(a-b)(a+b)

(n-2-7)(n-2+7)=0

(n-9)(n+5)=0

n-9=0 or n+5=0

n=9 or n=-5

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step-by-step explanation: