R + 30 = ( R - 10)²/2
2R + 60 = ( R - 10)²
2R + 60 = R² - 20R +100
0 = R² - 20R + 100 -2R - 60
0 = R² - 22R + 40
R² - 22R + 40 = 0
(R - 2)(R - 20) = 0
igualamos a cero
R - 2 = 0
R = 2
R -20 = 0
R = 20
de las dos soluciones R = 20 es la que cumple
respuesta: Roxana tiene 20 años
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R + 30 = ( R - 10)²/2
2R + 60 = ( R - 10)²
2R + 60 = R² - 20R +100
0 = R² - 20R + 100 -2R - 60
0 = R² - 22R + 40
R² - 22R + 40 = 0
(R - 2)(R - 20) = 0
igualamos a cero
R - 2 = 0
R = 2
R -20 = 0
R = 20
de las dos soluciones R = 20 es la que cumple
respuesta: Roxana tiene 20 años