Storyboard-Text
- Gleiten: 1
- Do you know what a quadratic formula is?
- Gleiten: 2
- x=−b±√b2−4ac2awhere the values of a, b, and c are substituted from the quadratic equation ax2+ bx + c = 0.
- That looks hard.
- Gleiten: 3
- It's not o hard. Let's try a problem. We will start with the following: First we want to write the equation in standard form and identify a, b, c0=x^2+4x+1This is in standard form.a=1,b=4,c=1
- Gleiten: 4
- x= −b±√b2−4ac 2a a = 1,b = 4,c = 1x= −(4)±√42−4(1)(1) 2(1)
- Substitute the values for a,b,c into the quadratic formula
- Gleiten: 5
- x= −(4)±√42−4(1)(1) 2(1) x= −(4)±√16−4(1)(1) 2(1) x= −(4)±√16−4 2(1) x= −(4)±√12 2(1) x= −4±√12 2(1) x= −4±√12 2
- Simplify using the order of operations
- Gleiten: 6
- x= −4+√12 2
- x=−4−√122
- Separate the equation into 2 equations
- Gleiten: 7
- x≈−4+3.462
- x≈−4−3.462
- Use your calculator to approximate the square root of 12
- Gleiten: 8
- x ≈ −4−3.46 2 ≈ −7.46 2 ≈ −3.73
- Simplify each equation
- x≈−4+3.462≈−0.542≈−0.27
- Gleiten: 9
- The two approximate solutions arex = −0.27andx = −3.73.
- The x-intercepts are right where you expected them to be!
- Compare the approximate solutions to the graph
- Gleiten: 10
- That's all there is to it. Was it as hard as you thought?
- Not as hard as I thought but it is a lot of work with a lot of steps
- Gleiten: 11
- I think you did just great and I am sure you are ready for the test.
- Thanks. I think so too.
- Gleiten: 12
- The End!
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