Solving Quadratic Equations by Using The Quadratic Formula

​Solving Quadratic Equations by Using the Quadratic Formula

​The Quadratic Formula

​Steps:

​1. Write the equation in standard form. (ax² + bx + c = 0)

2.​ Identify the numerical values of the coefficients a, b, and c.

3. Write ​the quadratic formula.

4. Substitute the numerical values for a, b, and c in the quadratic formula.

5. Simplify to get the exact solution

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​Example 1: Solve x² - x - 42 = 0 using quadratic formula.

​Solution:

​Video Example:

​Example 2: Solve x² + 3x + 6 = 0 using quadratic formula.

​Solution:

Multiple Choice

Identify the value of a, b, and c given the quadratic equation 3x - 5x² = 10.

• a = 3

  b = -5

  c = 10

• a = -5

  b = 3

  c = -10

• a = -3

  b = 5

  c = -10

• a = 10

  b = -3

  c = - 5

Multiple Choice

Solve for x.

x² + 3x - 4 = 0

• x = 2 and x = - 2

• x = - 4 and x = 1

• x = 4 and x = - 1

• x = -2 and x = -2

Multiple Choice

find x for
2x²-8x-24=0

• x= 6, -2
• x= 2, -6
• x= 4, 2
• x= 2, 6

Multiple Choice

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

• No Real Solution