Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Question

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.