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Solving Quadratic Equations with Square Roots

Solving Quadratic Equations with Square Roots 1.5 - Solution

arrow_back Return to Solving Quadratic Equations with Square Roots

Let's review how can we find the solutions to an equation of the form by using square roots. For this, we can take the square root of each side of the equation to isolate Notice that there are three possible cases according to the value of

  • Case In this case, since the equation has two real solutions,
  • Case In this case, since the equation has one real solution,
  • Case In this case, since is not a real number, the equation has no real solutions.

Thus, by studying the value of  the number of solutions can be found.