4.1-4.4 Solving Equations

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What is the quadratic formula?

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Front

How do you complete the square for a quadratic equation?

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Front

What does it mean if a quadratic equation has no real solutions?

Back

It means that the discriminant (b^2 - 4ac) is less than zero, indicating that the solutions are complex numbers.

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Front

What is the discriminant in a quadratic equation?

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Front

What is the vertex form of a quadratic equation?

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Front

How do you factor a quadratic equation?

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Front

What is the significance of the leading coefficient in a quadratic equation?

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The leading coefficient (a) determines the direction of the parabola: if a > 0, it opens upwards; if a < 0, it opens downwards.