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