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gulaghasi [49]
3 years ago
11

⚠️Help Please It’s Due Today!! ⚠️

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

Answer:

0.15893 is irrational

0.7 is rational

5 1/25 is rational

-17 is rational

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What are the solutions of the equation x^4 + 95x^2 - 500= 0? Use factoring to solve
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1) given x^4 + 95x^2 - 500

2) split in two factors with common factor term x^2: (x^2 + )(x^2 - )

3) find two numbers that add up 95 and their product is - 500:

=> 100*(-5) = - 500 and 100 - 5 = 95

=> (x^2 + 100)(x^2 - 5)

4) factor x^2 - 5 = (x + √5) (x - √5)

5) write the prime factors: (x^2 + 100) (x + √5) (x -√5)

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Answer: x = √5 and x = - √5
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