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Questions and Answers
What is the quadratic formula for solving a quadratic equation of the form $ax^2 + bx + c = 0$?
What is the quadratic formula for solving a quadratic equation of the form $ax^2 + bx + c = 0$?
- $x = \frac{b \mp \sqrt{b^2 - 4ac}}{2a}
- $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ (correct)
- $x = \frac{b \pm \sqrt{b^2 - 4ac}}{2a}$
- $x = \frac{-b \mp \sqrt{b^2 - 4ac}}{2a}$
What does the expression $b^2 - 4ac$ represent in the quadratic formula?
What does the expression $b^2 - 4ac$ represent in the quadratic formula?
- Discriminant (correct)
- Axis of symmetry
- Vertex
- Y-intercept
How many solutions does a quadratic equation with a positive discriminant have?
How many solutions does a quadratic equation with a positive discriminant have?
- Two complex solutions
- One real solution
- No real solutions
- Two distinct real solutions (correct)
What geometric feature do the roots of a quadratic equation represent?
What geometric feature do the roots of a quadratic equation represent?
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Which method provides an alternative way of solving a quadratic equation, apart from using the quadratic formula?
Which method provides an alternative way of solving a quadratic equation, apart from using the quadratic formula?
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