Sara has 4 liters of a 46% soda solution. How much soda must Sara add so that the resulting
solution contains 56% soda?
A. 0.95 liters
B. 0.91 liters
C. 4.91 liters
D. 2037.04 liters

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

if you was gonna solve for a, a is a   < -12

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

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