bigdill15 bigdill15
  • 22-08-2022
  • Mathematics
contestada

Solve 0=(x-4)²-1
What are the solutions to the equation?

Respuesta :

mamadoudiallo118 mamadoudiallo118
  • 23-08-2022

Answer: x=3 or x=5

Step-by-step explanation:

0 = 0=(x-4)²-1

(x -4)^2-1=0

Factor the expression using

a^2-b^2= ( a + b ) ( a - b )

Apply zero Product Property

( (x -4 ) + 1 ) ( (x - 4 ) - 1 ) = 0

( x - 4 ) + 1 = 0

Determine the sign

x - 3 = 0

Rearrange variables to the left side of the equation

x = 3

( x - 4 ) + 1 = 0

Determine the sign

x - 5 - 1 = 0

Combine like terms

x - 5 = 0

Rearrange variables to the left side of the equation

x = 5

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