Solving Quadratics

Front

What is the first step in solving the equation x² + 6x - 13 = 3?

Back

Make it equal 0 by subtracting 3 on each side.

Front

If the graph of a quadratic does not intercept the x-axis, what does it indicate about the solutions?

Back

It has No Real Solution.

Front

What is another term for 'where a function crosses the x-axis'?

Back

x-intercept, zero, root (all of these).

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5.

Front

Identify the values of a, b, and c in the equation 4x² - 8x = 3.

Back

a = 4, b = -8, c = -3.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c.

Front

What does the 'a' in the quadratic equation represent?

Back

The coefficient that determines the direction and width of the parabola.

Front

What is the vertex of a quadratic function?

Back

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

Front

How can you find the x-intercepts of a quadratic equation?

Back

By setting the equation equal to zero and solving for x.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a).