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| Math Central | Quandaries & Queries |
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Question from David, a student: Find all real solution to each equation. x^-2/3 = 9 how do you do this if its to the power x + 1= Square root (3x +13) can you explain how to get an solution with square root? |
Hi David,
x-2/3 = 9:
9 = 32 so the equation can be written x-2/3 = 32 and hence x-1/3 = 3. Can you complete it now? Make sure you check your answer.
x + 1 = √(3x + 13):
Square both sides to get x2 + 2x + 1 = 3x + 13. Solve this quadratic and again make sure you check your answer.
Penny
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