Question

Solve by using tables. Give each answer to at most two decimal places.

–2x2 – 4 = –8x
(1 point)
Responses

0.59, 3.41
0.59, 3.41

–3.41, –0.59
–3.41, –0.59

1.17, 6.83
1.17, 6.83

–1.41, 1.41

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation –2x^2 – 4 = –8x using tables, we can create a table with two columns, one for x and one for –2x^2 – 4.

Let's start by plugging in some values for x and calculating the corresponding values for –2x^2 – 4:

x | –2x^2 – 4
--------------
-3 | 14
-2 | -8
-1 | 0
0 | -4
1 | -6
2 | -8
3 | -14

Looking at the table, we can see that when x equals -1, the value of –2x^2 – 4 is 0. This means that -1 is a solution to the equation.

Therefore, one of the correct answers is –1.00.

To find the other solution, we need to look for the point where the curve of the equation intersects the x-axis. Based on the table, it looks like this happens between x = 1 and x = 2.

We can estimate the solution by finding the x-value where –2x^2 – 4 is closest to 0. It appears to be around x = 1.41.

Therefore, the other correct answer is 1.41.

So, the correct answers are –1.00 and 1.41.