Solve the following quadratic equations. Check the solutions.
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Answer:
1. x² - 49 = 0
(x + 7)(x - 7) = 0
x + 7 = 0 or x - 7 = 0
2. 9x² - 25 = 0
(3x + 5)(3x - 5) = 0
3x + 5 = 0 or 3x - 5 = 0
3. 4x² + 1 = 5
4x² + 1 - 5 = 0
4x² - 2 = 0
x² - 1 = 0
(x + 1)(x - 1) = 0
x + 1 = 0 or x - 1 = 0
4. 5(x + 7)² = 1125
(x + 7)² = 225
x + 7 = √225 or x + 7 = -√255
5. x² = 43
Step by step explanation: