Undergrad Solving Equations with Surds | Get Help Now

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SUMMARY

The equation (x+15)^(1/2) + x^(1/2) = 15 can be solved by isolating one square root before squaring both sides. This method clarifies the steps needed to solve for x exactly, rather than relying on iterative methods. The discussion confirms that isolating the square root simplifies the equation and leads to a definitive solution.

PREREQUISITES
  • Understanding of algebraic manipulation
  • Familiarity with square roots and their properties
  • Knowledge of squaring equations
  • Basic problem-solving skills in mathematics
NEXT STEPS
  • Study techniques for isolating variables in equations
  • Learn about solving radical equations
  • Explore methods for verifying solutions in algebra
  • Practice with similar equations involving surds
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Students, educators, and anyone interested in mastering algebraic equations involving surds and radicals.

dyn
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Hi.
This is not a homework question but I saw this equation on an advert for a website.

(x+15)1/2 + x1/2 = 15

I tried squaring both sides of the equation but that didn't help. Can this equation be solved exactly or can it only be solved by iteration ?
Thanks
 
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Try isolating one square root (##\sqrt {...} = ...##) before squaring, afterwards it should be clear how to solve for x.
 
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Thanks for your help. Got the answer now
 

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