quadratic formula practice

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

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

Back

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

Front

Identify the values of A, B, and C in the equation: 11r² + 6r = 6.

Back

A = 11, B = 6, C = -6.

Front

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

Back

The 'b' value represents the coefficient of the linear term in the quadratic equation ax² + bx + c.

Front

Solve using the quadratic formula: 9x² = 4 + 7x.

Back

x = 1.16, and x = -0.38.

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

If the discriminant is positive, what can be said about the roots of the quadratic equation?

Back

If the discriminant is positive, the quadratic equation has two distinct real roots.

Front

If the discriminant is zero, what can be said about the roots of the quadratic equation?

Back

If the discriminant is zero, the quadratic equation has exactly one real root (a repeated root).

Front

If the discriminant is negative, what can be said about the roots of the quadratic equation?

Back

If the discriminant is negative, the quadratic equation has no real roots (the roots are complex).

Front

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

Back

x = -5/2, x = 7.