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

To solve the equation –2x^2 – 4 = –8x using tables, we need to create a table to find the values of x where the equation is true.

First, let's rewrite the equation in standard form by moving all the terms to one side:
–2x^2 + 8x - 4 = 0

Now, let's create a table and evaluate the equation for different values of x:

| x | –2x^2 + 8x - 4 |
|----|----------------|
| -2 | -8 |
| -1 | 0 |
| 0 | -4 |
| 1 | 2 |
| 2 | 4 |
| 3 | 0 |

From the table, we can see that the equation is true for x = -1 and x = 3.

Therefore, the solution to the equation –2x^2 – 4 = –8x is x = -1 and x = 3.