Question

17. Which equation has the same solution as x2 + 8x - 33 = 0?

(1) (x + 4)² = 49
(2)(x-4)2 = 49
(3)(x + 4)² = 17
(4)(x-4)2 = 17

Answer 1

Explanation:

Step 1:

The solutions for
`x^2+8x-33=0` are -11 and 3. We can find this by factoring the equation into
`(x+11)(x-3)=0`, and then solving for each part, giving us -11 and 3.

We need to figure out which of the equations is equivalent to
`x^2+8x-33=0`
Step 2:

Equation 1 when foiled and simplified:

`x^2+8x-33=0`
Equation 2 when foiled and simplified:

`x^2-8x-33=0`

Equation 3 when foiled and simplified:

`x^2+8x-1=0`

Equation 4 when foiled and simplified:

`x^2-8x-33=0`

As you can see, equation 1 is what we are looking for.

Final Answer:
Equation (1) has the same solution.