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Algebra/quadratic equations with perfect squares
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Question
I need your help on some problems that im not understanding. You have to solve the quadratic equation step by step.
1. x squared =225
2. x squared =-225
3. a squared -64=0
4. 3n squared -75=0
5. n squared -6=0
6. (n-5)squared=20
1.) x² = 225
x² - 225 = 0
(x + 15)(x - 15) = 0
x = ±15
2.) x² = -225
x² + 225 = 0
No real solutions
3.) a² - 64 = 0
work the same as #1
4.) 3n² - 75 = 0
3(n² - 25) = 0
3(n + 5)(n - 5) = 0
n = ±5
5.) n² - 6 = 0
n = ±sqrt(6)
6.) (n - 5)² = 20
n - 5 = ±sqrt(20)
n = 5 ± sqrt(20)
Hope this helps.
Jeff
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Questioner's Rating
| Rating(1-10) | Knowledgeability = 10 | Clarity of Response = 10 | Politeness = 10 |
| Comment | Thanks Jeff but the problem was written exactly the way I wrote it and its beginners algebra. I've never have taken algebra before. Thanks | ||
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Answers by Expert:
Jeff White
Expertise
I can handle algebra questions at all levels through college. I enjoy algebra and like to help people who struggle with it come to a better understanding of the subject.
Experience
I have taught basic math, elementary algebra, intermediate algebra, and college algebra.
Education/Credentials
B.S. Applied Mathematics
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