Solving Quadratics
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Questions and Answers

When solving quadratics by taking the square root, what is the correct method to isolate the variable?

  • Multiply both sides of the equation by the coefficient of the variable before taking the square root
  • Divide both sides of the equation by the coefficient of the variable before taking the square root
  • Add the constant to both sides of the equation before taking the square root
  • Subtract the constant from both sides of the equation before taking the square root (correct)

    • In the quadratic equation 'ax^2 + bx + c = 0', what is the discriminant used for?

  • To calculate the product of the roots of the equation
  • To simplify the equation before solving
  • To determine the number of real solutions of the equation (correct)
  • To find the sum of the roots of the equation

    • When solving a quadratic equation using the square root method, what should be considered when taking the square root of both sides?

  • Only the positive square root should be considered
  • Both the positive and negative square roots should be considered (correct)
  • The square root cannot be taken when solving quadratic equations
  • Only the negative square root should be considered

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