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Dispatch

Dispatch. Thursday 4/4/13. Solve the following equation by using the Quadratic Formula x 2 – 5x = – 4. {1,4}. We will be able to determine how many solutions does a given quadratic equation have. Solving Quadratic Equations. Standard: 22.0. REAL LIFE APPLICATION.

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Dispatch

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  1. Dispatch Thursday4/4/13 Solve the following equation by using the Quadratic Formula x2 – 5x = – 4 {1,4}

  2. We will be able to determine how many solutions does a given quadratic equation have. Solving Quadratic Equations Standard: 22.0

  3. REAL LIFE APPLICATION Mr. Hernandez went bungee jumping on his recent trip to Cabo San Lucas. Before he decided to jump he thought to himself “Hey, I better make sure that I am high enough to not hit the ground when I jump”. Mr. Hernandez, as the great math genius that he is figured out that the elasticity of the bungee chord created the equation h = t2 – 9t + c, where t represents time and c represents his initial height. What should the value of c be so Mr. Hernandez does not hit the ground?

  4. ACTIVITY STEP 1: Solve the Quadratic Equation that was assigned to you using the Quadratic Formula in the “My Equation Box” STEP 2: Have your elbow partner check your answer STEP 3: As a group, share your answers to complete “My Group Findings” Chart

  5. ACTIVITY STEP 4: Before asking me to check your answers, check with each other. STEP 5: Complete the Questions that follow

  6. Making Connections • What relationship (pattern) did you notice between the Quadratic Formula and the number of solutions? (Hint: look at how you solved the problem) • What conclusions can you make about finding the number of solutions in a Quadratic Equation?

  7. How to use the _________________ to determine the number of roots:

  8. REAL LIFE APPLICATION Mr. Hernandez went bungee jumping on his recent trip to Cabo San Lucas. Before he decided to jump he thought to himself “Hey, I better make sure that I am high enough to not hit the ground when I jump”. Mr. Hernandez, as the great math genius that he is figured out that the elasticity of the bungee chord created the equation h = t2 – 9t + c, where t represents time and c represents his initial height. What should the value of c be so Mr. Hernandez does not hit the ground? (Hint: Discriminant)

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