\Xbd(X-5)\Xb2=50, ?????? I Just Need Please!

½(x-5)²=50
?????? i just need please!  

Answer:

The roots/solution is {-5, 15}.

Step-by-step explanation:

1/2(x-5)² = 50

The factor (x-5)² must be isolated and left with a factor of 1. This is done to isolate the variable x.

Hence, divide each side of the equation by the coefficient 1/2 or multiply both sides by the reciprocal of 1/2 which is 2/1 or 2. This is the multiplicative inverse property of equation.

(2/1) 1/2 (x-5)² = 50} (2/1)

(x - 5)² = 50 (2/1)  

(x - 5)² = 100

√(x-5)² = ±√(100)

x - 5 = ±10

x - 5 = + 10

x = 5 + 10

x = 15

x - 5 = -10

x = 5 - 10

x = -5

The roots/solution is {-5, 15}.


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