Finding Zeros of Quadratics

Front

What are the roots/zeros of the quadratic equation x^2 - 2x - 24?

Back

The roots/zeros are -4 and 6.

Front

How do you find the roots/zeros of a quadratic equation?

Back

You can find the roots by factoring, using the quadratic formula, or completing the square.

Front

What are the roots/zeros of the quadratic equation x^2 + x - 2?

Back

The roots/zeros are -2 and 1.

Front

What is the quadratic formula used to find the roots of a quadratic equation?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).

Front

What are the roots/zeros of the quadratic equation x^2 + 5x - 14?

Back

The roots/zeros are -7 and 2.

Front

What do the x-intercepts of a quadratic equation represent?

Back

The x-intercepts represent the zeros of the quadratic equation.

Front

What are the roots/zeros of the quadratic equation x^2 - x - 20?

Back

The roots/zeros are -4 and 5.

Front

What is the significance of the discriminant in the quadratic formula?

Back

The discriminant (b² - 4ac) determines the nature of the roots: two real and distinct, one real and repeated, or two complex.

Front

What is the vertex of a quadratic function, and how is it related to the roots?

Back

The vertex is the highest or lowest point of the parabola and can be found using the formula x = -b/(2a). It is between the roots on the x-axis.

Front

How can you verify the roots of a quadratic equation?

Back

You can verify the roots by substituting them back into the original equation to see if they yield zero.