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Drag the tiles to the correct boxes to complete the pairs. solve each equation using the square root property. then, match the solutions to the equations they describe.

√13,-√13 √14i,-√14i 9i,-9i 2i,-2i
pairs?
x² + 81 = 0 ---->
x² - 22 = -26--->
3x²-18 =21----->
2x² +15 = -13-->

User LowLevel
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1 Answer

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Final answer:

To solve the equations using the square root property, isolate the variable and take the square root of both sides.

Step-by-step explanation:

To solve each equation using the square root property, we need to isolate the variable on one side and take the square root of both sides of the equation.

  1. x² + 81 = 0: Subtract 81 from both sides and take the square root. The solutions are x = ±√-81 = ± 9i.
  2. x² - 22 = -26: Add 22 to both sides and take the square root. The solutions are x = ±√-4 = ± 2 i.
  3. 3x² - 18 = 21: Add 18 to both sides, divide by 3, and take the square root. The solutions are x = ±√13.
  4. 2x² + 15 = -13: Subtract 15 from both sides and take the square root. The solutions are x = ±√-14i.
User Insan
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