Solve by using tables. Give each answer at most two decimal places. -2x^(2)-4=-8x
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.
To solve the equation -2x^2 - 4 = -8x using tables, you can create a table of values for both sides of the equation.
First, let's create a table for the left side of the equation, which is -2x^2 - 4:
x | -2x^2 - 4
--------------
0 | -4
1 | -6
2 | -12
-1 | -2
Next, create a table for the right side of the equation, which is -8x:
x | -8x
--------
0 | 0
1 | -8
2 | -16
-1 | 8
By comparing the values in both tables, we can find the values of x that satisfy the equation. As we can see, the values of x that make the left side equal to the right side are x = -1 and x = 2.
Therefore, the solutions to the equation -2x^2 - 4 = -8x are x = -1 and x = 2.
To solve the equation -2x^2 - 4 = -8x using tables, we need to create a table of values for both sides of the equation and see where they are equal.
Step 1: Solve for one side of the equation
Let's solve for the left side of the equation, -2x^2 - 4:
x | -2x^2 - 4
--------------
0 | -4
1 | -6
2 | -12
3 | -22
Step 2: Solve for the other side of the equation
Now, let's solve for the right side of the equation, -8x:
x | -8x
-------
0 | 0
1 | -8
2 | -16
3 | -24
Step 3: Compare the values
Now, let's compare the values for both sides of the equation:
x | -2x^2 - 4 | -8x
------------------
0 | -4 | 0
1 | -6 | -8
2 | -12 | -16
3 | -22 | -24
Step 4: Identify the solution
From the table, we can see that x = 1 is the solution since it is the only value where both sides of the equation are equal.
Therefore, the solution to the equation -2x^2 - 4 = -8x is x = 1.