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Masteriza [31]
3 years ago
15

Find all the roots of the equation x^4 - 2x^3 + 14x^2 - 18x + 45 = 0 given that 1 + 2i is one of its roots.

Mathematics
1 answer:
mel-nik [20]3 years ago
3 0
Hello ShaveTheWhales!

If (1+2i) is a root, then (1-2i) will also as kown, be another root.

In Other Words to make it NOT complicated for you, <span>1-2i, 3i, and -3i are the other 3 roots.
</span>
Hope this AT LEAST Helps! Have A Wonderful Day! :)

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How do you find the <br> y-intercept and the slope for number 11
Sophie [7]
The first step is to find the slope. Use the slope formula

m = (y2-y1)/(x2-x1)

The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)

So,
x1 = -1
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and
x2 = 2
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will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2

The slope is -2

Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5

y = mx+b ... slope intercept form
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The y intercept is 3

-----------------------------------

m = -2 is the slope
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Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points
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