Solve x^4-2x^3+6x^2-18x-27=0 by finding all roots

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1. Okay. 1/2 as a decimal is 0.5 and 8/9 is about 0.89. Just by looking at the answer choices, A and B are both eliminated, because they are less than 1/2. 22/24 is about 0.92 as a decimal, which is more than 0.889. C is eliminated, which leaves us with D. 19/24 is about 0.79, which is greater than 0.5, but less than 0.89. 19/24 is between 1/2 and 8/9. The answer is D: 19/24.

2. Okay. Finding the answe to this will require converting the improper fraction into decimals, through dividing. Just by looking at the answers, we can eliminate C and D, because those denominators are odd. That will not get us to 9.5 evenly. 9.5 is also 9 ½. Let's try A. 46/5 is 9.2. 9.2 < 9.5. A is out. 19/2 is 9.5. 9.5 = 9.5. There. 9.5 is 19/2 expressed as a fraction in simplest form. The answer is B: 19/2.