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