Quadratic Formula

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is used to find the solutions (roots) 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

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.

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.

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What does a zero discriminant indicate?

Back

A zero discriminant indicates that the quadratic equation has exactly one real root (a repeated root).

Front

What does a negative discriminant indicate?

Back

A negative discriminant indicates that the quadratic equation has no real roots (the roots are complex or imaginary).

Front

Solve using the quadratic formula: 2x² - 2x - 60 = 0

Back

x = 6, x = -5.

Front

Solve using the quadratic formula: 2x² - 9x - 35 = 0

Back

x = -5/2, x = 7.