Square Root Method - Fractions

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SUMMARY

The discussion focuses on solving the quadratic equation x² - 1/2x - 3/16 = 0 using the Square Root Method. Participants emphasize the importance of eliminating fractions by finding the lowest common denominator (LCD), which in this case is 16x. Multiplying both sides of the equation by the LCD simplifies the equation, potentially transforming it into a cubic equation. The Square Root Method requires clarification, as its application in this context is not immediately evident.

PREREQUISITES
  • Understanding of quadratic equations
  • Knowledge of the Square Root Method
  • Familiarity with fractions and lowest common denominators
  • Basic algebraic manipulation skills
NEXT STEPS
  • Research the Square Root Method for solving quadratic equations
  • Learn how to find the lowest common denominator in algebraic expressions
  • Study the process of converting quadratic equations to cubic equations
  • Explore techniques for solving cubic equations
USEFUL FOR

Students learning algebra, educators teaching quadratic equations, and anyone seeking to understand methods for solving equations involving fractions.

elflacodepr
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Homework Statement



x^2 - 1/2x - 3/16 = 0

The Attempt at a Solution


Actually, I don't know where to start since I have fractions.
 
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Your mention of "Square Root Method" is not clear. Since you have two fractions in the left-hand expression, use what you have known since having "learned" about fractions; which is, find the lowest common denominator, and multiply both sides of the equation by it. In your example, the L.C.D. is 16*x.

If you perform this multiplication, you will effectively clear away the fractions. If done correctly, you should obtain a CUBIC equation.

Now, by curiosity, please explain what is this Square Root Method about which you want some help?
 

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