Question

Eloise wants to make 3 cinder block gardens. A cinderblock has the dimensions 2/3' x 2/3' x 1 1/3'. Garden A is 48" x 48" x 16". Gardens B and C are the same sizes. If B and C were put together and formed 1 giant garden its dimensions would be 96" x 32" x 24". How many cinderblocks does she need to buy? Submit your math work AND create a model that would help someone understand the math

Answer 1

Eloise procedure

((-2x+1) ^1/2)-3=x------ok

((-2x+1) ^1/2)-3+3=x+3-----ok

((-2x+1) ^1/2)=x+3-----------ok

((-2x+1-1) ^1/2)=x+3-1---------->this is the error

the correct is ((-2x+1) ^1/2)-1=x+3-1

I solve correctly

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

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

-2x+1=x^2+6x+9

-x^2+8x+8=0

solving the quadratic equation

x1=-6.828

x2=-1.172

the solution is x=-1.172