Solving Quadratics Using Quadratic Formula

Front

What is the quadratic formula?

Back

Front

Identify the 'b' value in the equation: y = 16x^2 - 8x - 24

Back

The 'b' value is -8.

Front

What does the discriminant (b^2 - 4ac) tell us about a quadratic equation?

Back

The discriminant determines the nature of the roots: if > 0, two real and distinct roots; if = 0, one real root; if < 0, no real roots.

Front

Solve using the quadratic formula: 9x^2 = 4 + 7x

Back

Rearranging gives: 9x^2 - 7x - 4 = 0. Using the quadratic formula, the solutions are x = 1 and x = -rac{4}{9}.

Front

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

Back

The solutions are x = -5/2 and x = 7.

Front

What is the vertex form of a quadratic equation?

Back

Front

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

Back

Set y = 0 and solve the equation using the quadratic formula.

Front

What is the significance of the 'a' value in a quadratic equation?

Back

The 'a' value determines the direction of the parabola: if 'a' > 0, it opens upwards; if 'a' < 0, it opens downwards.

Front

Back

The solutions are x = 7 and x = -2.

Front

What is the standard form of a quadratic equation?

Back