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Questions and Answers
Which of the following is the standard form of a quadratic equation?
Which of the following is the standard form of a quadratic equation?
- $y = mx + b$
- $y = a(x - h)^2 + k$
- $ax + by = c$
- $ax^2 + bx + c = 0$ (correct)
Which of the following represents the discriminant of a quadratic equation?
Which of the following represents the discriminant of a quadratic equation?
- $\frac{\sqrt{b^2 - 4ac}}{2a}$
- $\frac{-b}{2a}$
- $\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
- $b^2 - 4ac$ (correct)
Which of the following is the quadratic formula?
Which of the following is the quadratic formula?
- $x = \frac{-b}{2a}$
- $x = \frac{\sqrt{b^2 - 4ac}}{2a}$
- $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ (correct)
- $x = \frac{-b \pm \sqrt{b^2 + 4ac}}{2a}$
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Study Notes
Quadratic Equations
- The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.
Quadratic Equation Components
- The discriminant of a quadratic equation is b^2 - 4ac, which determines the nature of the roots of the equation.
Solving Quadratic Equations
- The quadratic formula is x = (-b ± √(b^2 - 4ac)) / 2a, which is used to find the roots of a quadratic equation.
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