Un carpintero tiene una tira de madera de 64cm y otra de 80cm. Si quiere cortarlas en el máximo número de pedazos iguales sin desperdiciar material. ¿Cuánto debe medir cada pedazo de madera?

A carpenter has a 64cm strip of wood and another 80cm. If you want to cut them into the maximum number of equal pieces without wasting material. How long should each piece of wood be?

gdp is the best phrase!

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15