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madreJ [45]
2 years ago
9

-8 + 3h = 1 i need help its a 2 step equation​

Mathematics
1 answer:
LekaFEV [45]2 years ago
7 0

Answer:

h = 3

Step-by-step explanation:

-8 + 3h = 1

Add 8 to both sides.

3h = 1 + 8

Add 1 and 8 to get 9.

3h = 9

Divide both sides by 3.

h = \frac{9}{3}

Divide 9 by 3 to get 3.

h = 3

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Find all the zeros of the function <br> g(x)=x^3-4x^2-x+22
vagabundo [1.1K]

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This is a cubic equation, so it must have either 1 or 3 real roots.

Using rational root theorem, we can check if any of those real roots are rational.  Possible rational roots are ±1, ±2, ±11, and ±22.

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We know -2 is a root.  The other two roots are irrational.  To find them, we must find the other factor of g(x).  We can do this using long division, or we can factor using grouping.

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g(x) = x (x² − 4x − 12) + 11 (x + 2)

g(x) = x (x − 6) (x + 2) + 11 (x + 2)

g(x) = (x (x − 6) + 11) (x + 2)

g(x) = (x² − 6x + 11) (x + 2)

x² − 6x + 11 = 0

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x = [ 6 ± √(36 − 4(1)(11)) ] / 2

x = (6 ± 2i√8) / 2

x = 3 ± i√8

The three roots are x = -2, x = 3 − i√8, and x = 3 + i√8.

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Answer:

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