Presentation on theme: "Honors Algebra II Solving Equations Using Quadratic Techniques"— Presentation transcript:
1 Honors Algebra II Solving Equations Using Quadratic Techniques
2 Remember that first check to see if the equation can be written in quadratic form. A helpful hint is to see if you have a trinomialand in descending degree with the middle terms exponent exactlyhalf of the leading terms exponent.Next chose a variable, I like a for this set of problems, the representthe middle terms variable and exponent.Then write the equation in quadratic form and solve the quadraticequation.DO NOT FORGET TO CHECK YOUR ANSWERS BACK INTOTHE ORIGINAL PROBLEM!!
3 1. Yes, this equation can be written in quadratic form. Because of the corollary to the fundamental theorem of algebra, Iknew that I should have 4 answers, and I did.
7 5. This one is a little different from the first 4 problems. Did you check your answers? How did you check?
8 This one is like the first 4 except that I need to set the equation Did you check your answers?
9 7. How do I restate the square root of x? Watch, it’s on the wall. Did you check your answers?
10 If you check your answers to # 7 you had to reject x = 1. How did you check your answers?
11 If you check your answers to # 7 you had to reject x = 1. How did you check your answers? I used my handy dandy calc!What does this graph tell me? How about this one?
12 If you check your answers to # 7 you had to reject x = 1. How did you check your answers? I used my handy dandy calc!What does this graph tell me? How about this one?I need to reject x = x = 49 is a zero.
13 8. This one is similar to # 5.Did you check your answer? How did you check?
14 9. Similar to # 7.Check your answers, one of them does not work? Why?
16 11.I could have used synthetic division to find the quadratic equation.How?
17 # 11 revistedI know that 7 is a root (or zero). I can nowdo synthetic division to get the quadratic equation.I get the quadratic equation x2 – 7x + 49 = 0. Now solveusing the quadratic formula, like I did on the previous slide.
18 12. Similar to # 11.You could use syntheticdivision to find thequadratic equation if youdidn’t see that this wasthe difference of twocubes.
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