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Find the break even points of the expression $\sqrt{x-15}=3-\sqrt{x}$

Step-by-step Solution

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Final answer to the problem

The equation has no solutions.

Step-by-step Solution

How should I solve this problem?

  • Find break even points
  • Solve for x
  • Find the roots
  • Solve by factoring
  • Solve by completing the square
  • Solve by quadratic formula (general formula)
  • Find the discriminant
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Load more...
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Removing the variable's exponent raising both sides of the equation to the power of $2$

$x-15=\left(3-\sqrt{x}\right)^{2}$

Learn how to solve classify algebraic expressions problems step by step online.

$x-15=\left(3-\sqrt{x}\right)^{2}$

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Learn how to solve classify algebraic expressions problems step by step online. Find the break even points of the expression (x-15)^1/2=3-x^1/2. Removing the variable's exponent raising both sides of the equation to the power of 2. Expand \left(3-\sqrt{x}\right)^{2}. Move the term with the square root to the left side of the equation, and all other terms to the right side. Remember to change the signs of each term. Cancel like terms x and -x.

Final answer to the problem

The equation has no solutions.

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

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Main Topic: Classify algebraic expressions

An algebraic expression can be classified as a monomial, binomial, trinomial or polynomial, depending on the number of terms.

Used Formulas

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