Math Support - Quadratic Formula

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation in the form ax² + bx + c = 0. It is given by: x = (-b ± √(b² - 4ac)) / (2a).

Front

What does 'a' represent in the quadratic formula?

Back

'a' represents the coefficient of x² in the quadratic equation ax² + bx + c = 0.

Front

What does 'b' represent in the quadratic formula?

Back

'b' represents the coefficient of x in the quadratic equation ax² + bx + c = 0.

Front

What does 'c' represent in the quadratic formula?

Back

'c' represents the constant term in the quadratic equation ax² + bx + c = 0.

Front

How do you make a quadratic equation equal to zero?

Back

To make a quadratic equation equal to zero, you can rearrange the equation by adding or subtracting terms from both sides.

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

What are the solutions to the equation 2x² + 7x - 15 = 0?

Back

The solutions are x = -5 and x = 1.5.

Front

What is the zero product property?

Back

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

How do you apply the quadratic formula to the equation 2x² - 9x - 35 = 0?

Back

Using the quadratic formula, the solutions are x = -5/2 and x = 7.

Front

What is the discriminant in the quadratic formula?

Back

The discriminant is the part of the quadratic formula under the square root: b² - 4ac. It determines the nature of the roots.