Solving Quadratic Equations Review

Front

What does a negative discriminant indicate about the solutions of a quadratic equation?

Back

No Real Solutions

Front

Convert x² + 6x + 9 to factored form and identify the solution.

Back

(x + 3)(x + 3); x = -3

Front

What does a discriminant of 0 indicate about the solutions of a quadratic equation?

Back

1 Real Solution

Front

If the graph of a quadratic does not intercept the x-axis, what can be said about its solutions?

Back

No Real Solution

Front

Convert x² - 6x + 9 to factored form and identify the solution.

Back

(x - 3)(x - 3); x = 3

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the vertex of a quadratic function?

Back

The highest or lowest point on the graph of the quadratic function.

Front

How can you find the axis of symmetry for a quadratic equation?

Back

x = -b/(2a), where ax² + bx + c is the quadratic equation.

Front

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

Back

It determines the direction of the parabola: opens upwards if a > 0 and downwards if a < 0.

Front

What are the roots of a quadratic equation?

Back

The values of x that make the equation equal to zero.