Question

(x-2)^2 -(3-x)^2= 1

Answer 1

Hola!

Respuesta:

x = 3

Explicación paso a paso:

${(x - 2)}^{2} - {(3 - x)}^{2} = 1 \\ {x}^{2} - 4x + 4 - (9 - 6x + {x}^{2} ) = 1 \\ {x}^{2} - 4x + 4 - 9 + 6x - {x}^{2} = 1 \\ 2x = 6 \\ x = 3$

Comprobación:

${(x - 2)}^{2} - {(3 - x)}^{2} = 1 \\ {(3 - 2)}^{2} - {(3 - 3)}^{2} = 1 \\ {1}^{2} - {0}^{2} = 1 \\ 1 = 1$