Question

Solve by using tables. Give each answer at most two decimal places. -2x^(2)-4=-8x

Answer 1

To solve the equation -2x^2 - 4 = -8x using tables, we can create a table to show the values of x and y for different x-values.

First, let's rearrange the equation to have all terms on the same side:
-2x^2 + 8x - 4 = 0

Now, let's create a table to find the values of x and y using different x-values:

x | -2x^2 + 8x - 4
-------------------
-2 | -8(4) + 8(-2) - 4 = -32 - 16 - 4 = -52
-1 | -2(1) + 8(1) - 4 = -2 + 8 - 4 = 2
0 | -2(0) + 8(0) - 4 = 0 - 4 = -4
1 | -2(1) + 8(1) - 4 = -2 + 8 - 4 = 2
2 | -2(4) + 8(2) - 4 = -8 + 16 - 4 = 4

From the table, we can see that the equation -2x^2 + 8x - 4 = 0 has solutions x = -1 and x = 2.