Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each quadratic equation with its solution set.
2x2 − 32 = 0
4x2 − 100 = 0
x2 − 55 = 9
x2 − 140 = -19
2x2 − 18 = 0
{-8, 8}
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{-4, 4}
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{-5, 5}
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{-11, 11}
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Answer 1

Let's solve each quadratic equation to find its solution set:

1. **2x² − 32 = 0**
- 2x² = 32
- x² = 16
- x = ±4
- Solution set: {-4, 4}

2. **4x² − 100 = 0**
- 4x² = 100
- x² = 25
- x = ±5
- Solution set: {-5, 5}

3. **x² − 55 = 9**
- x² = 64
- x = ±8
- Solution set: {-8, 8}

4. **x² − 140 = -19**
- x² = 121
- x = ±11
- Solution set: {-11, 11}

5. **2x² − 18 = 0**
- 2x² = 18
- x² = 9
- x = ±3
- Solution set: {-3, 3} (not listed in your options, so we ignore)

Now we can match the equations with their solution sets:

1. **2x² − 32 = 0** -> {-4, 4}
2. **4x² − 100 = 0** -> {-5, 5}
3. **x² − 55 = 9** -> {-8, 8}
4. **x² − 140 = -19** -> {-11, 11}

So the completed pairs are:

- **2x² − 32 = 0** ↔ **{-4, 4}**
- **4x² − 100 = 0** ↔ **{-5, 5}**
- **x² − 55 = 9** ↔ **{-8, 8}**
- **x² − 140 = -19** ↔ **{-11, 11}**

The tile "2x² − 18 = 0" is not matched because its solution set is not provided.