To solve the equation –2x^2 – 4 = –8x using tables, we will create a table of values for both sides of the equation.
First, let's create a table for the left side of the equation, –2x^2 – 4:
|x | –2x^2 – 4 |
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|-3 | –2(-3)^2 – 4 = –14 |
|-2 | –2(-2)^2 – 4 = –12 |
|-1 | –2(-1)^2 – 4 = –6 |
| 0 | –2(0)^2 – 4 = –4 |
| 1 | –2(1)^2 – 4 = –6 |
| 2 | –2(2)^2 – 4 = –12 |
| 3 | –2(3)^2 – 4 = –22 |
Now, let's create a table for the right side of the equation, –8x:
|x | –8x |
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|-3 | –8(-3) = 24 |
|-2 | –8(-2) = 16 |
|-1 | –8(-1) = 8 |
| 0 | –8(0) = 0 |
| 1 | –8(1) = –8 |
| 2 | –8(2) = –16 |
| 3 | –8(3) = –24 |
By examining the values in both tables, we can see that -2x^2 - 4 is not equal to -8x for any value of x. Therefore, there is no solution to the equation –2x^2 – 4 = –8x.
Solve by using tables. Give each answer to at most two decimal places.
–2x2 – 4 = –8x
1 answer