5.7 Quadratic Formula Lesson

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

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

Back

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

Front

How do you rearrange the equation 4x² - 8x = 3 to use the Quadratic Formula?

Back

Rearrange to 4x² - 8x - 3 = 0.

Front

Solve the quadratic equation 2x² + 2x - 12 using the Quadratic Formula.

Back

x = 2, x = -3.

Front

What does the discriminant (b² - 4ac) tell you about the solutions of a quadratic equation?

Back

If the discriminant is positive, there are two real solutions; if it is zero, there is one real solution; if it is negative, there are no real solutions.

Front

Find the solutions for the equation y = -x² - 5x + 12 using the Quadratic Formula.

Back

No Real Solution.

Front

Solve the quadratic equation 2x² - 9x - 35 = 0 using the Quadratic Formula.

Back

x = -5/2, x = 7.

Front

What is the first step in applying the Quadratic Formula?

Back

Identify the coefficients a, b, and c from the quadratic equation.

Front

Solve the equation x² + 4x + 3 = 0 using the Quadratic Formula.

Back

x = -1, x = -3.

Front

What is the significance of the '±' symbol in the Quadratic Formula?

Back

It indicates that there are two possible solutions: one for addition and one for subtraction.