Solving Quadratics

Front

What is the standard form of a quadratic equation?

Back

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Back

Front

What are the solutions to the equation x^2 - 2x = 0?

Back

The solutions are x = 0 and x = 2, found by factoring out the GCF.

Front

What is the Quadratic Formula?

Back

Front

What is the most efficient method to solve the equation 5x^2 - 3x - 7 = 0?

Back

The most efficient method is the Quadratic Formula.

Front

What does it mean for a quadratic equation to have complex solutions?

Back

Complex solutions occur when the discriminant (b^2 - 4ac) is negative, resulting in solutions involving the imaginary unit i.

Front

What is the vertex form of a quadratic equation?

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Front

How do you find the vertex of a quadratic function in standard form?

Back

Front

What is the axis of symmetry for a quadratic equation?

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Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: positive (two real roots), zero (one real root), or negative (two complex roots).