Which inequality represents this sentence?

Mathematics

1 answer:

e-lub [12.9K]3 years ago

6 0

Reminder:
< less than
> greater than
Now 5+4<10+2
Answer is: B

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Solve each polynomial equation.

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15) x = 8, $\frac{1}{3}, - \frac{2}{5}$

16) x = 9, $\frac{5+\sqrt{17}} {2}$ , $\frac{5 -\sqrt{17}} {2}$

17) x = 6, $-\frac{3+i\sqrt{11}} {10}$ , $-\frac{3-i\sqrt{11}} {10}$

<u>Step-by-step explanation:</u>

15x³ - 119x² - 10x + 16 = 0

$\frac{p}{q}: \frac{16}{15}:+/- \frac{1*2*4*8*16}{1*3*5*15}$

So, the possible rational roots are: +/- $1, 2, 4, 8, 16,\frac{1}{3},\frac{2}{3},\frac{4}{3},\frac{8}{3},\frac{16}{3},\frac{1}{5},\frac{2}{5},\frac{4}{5},\frac{8}{5},\frac{16}{5},\frac{1}{15},\frac{2}{15},\frac{4}{15},\frac{8}{15},\frac{16}{15}$

Use synthetic division with each one until you find a remainder of zero. I am not going to go through each one because it is too time consuming, however, the first one that works is x = 8

(x - 8)(15x² + x - 2)

Next, factor 15x² + x - 2 using any method

(x - 8)(3x - 1)(5x + 2)

Now, solve for x.

x = 8, x = $\frac{1}{3}$ , x = $-\frac{2}{5}$