Question

How can 2x2 = x2 + 4x + 8 be set up as a system of equations?

y = x2 - 4
y = x2 + 2x + 8

y = x2
y = x2 + 4x + 8


y = 2x2
y = x2 + 4x + 8

y = x2
y = 2x + 8

Answer 1

`y=2x^(2)`

`y=x^(2) +4x+8`

Explanation:

we have

`2x^(2) =x^(2) +4x+8` -----> original equation

To set up as a system of equations

Let the left side of the equation ------> equation A

Let the right side of the equation ------> equation B

so

`y=2x^(2)` -------> equation A

`y=x^(2) +4x+8` -----> equation B

The system of equations will have the same solutions for x that the original equation

Answer 2

we are asked in the problem to get the linear equations that results to 2x2 =x2 + 4x +8. In this case, the two equations on each sides can be equal to y in which the two equations are then identical. The systems of equations that has the right answer is C.