The sum of a number and 72 times its reciprocal is -17. Find the number

1 answer:

3 0

Let, the number = x

Then, x + 72/x = -17

x² + 72 = -17x

x² + 17x + 72 = 0

x² + 8x + 9x + 72 = 0

x(x + 8) 9(x + 8) = 0

(x + 8)(x + 9) = 0

x = -8 OR -9

In short, Your Number would be: Either -9 or -8

Hope this helps!

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Answer:

0.4 or $\frac{2}{5}$

Step-by-step explanation:

James spun the arrow 30 times which means 30 is the total. In other words, it's your denominator ( $\frac{x}{30}$ ). It landed on the blue section 12 times which means 12 is the part of the whole. In other words, it's your numerator ( $\frac{12}{y}$ ). Plug in the entire fraction and you get $\frac{12}{30}$ . Divide 12 by 30 and you get 0.4 or if you divide both the numerator & denominator by 6, you get $\frac{2}{5}$ . Either one works, depending on what your question asks for.