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jeka57 [31]
3 years ago
9

What are the roots of the equation 9x2 – 36x +37 O in simplest a + bí form?

Mathematics
1 answer:
Svetlanka [38]3 years ago
5 0

Answer:

  x = 2+1/3i or 2-1/3i

Step-by-step explanation:

The equation of interest can be written in vertex form as ...

  9(x -2)² +1 = 0

so its solutions can be found by subtracting 1, dividing by 9, taking the square root, then adding 2.

  x = 2 ± √(-1/9)

In the desired form, the zeros of the given expression are ...

  x = 2 +1/3i or 2 -1/3i

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3 years ago
An open rectangular box with square base has a volume of 256 cubic inches. determine the equation for the volume and surface are
Serjik [45]
Let
b-----------> the length side of the square box
h------------> the height of the box
SA---------> surface area of the box

we know that
[volume of the box]=b²*h
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surface area of the box=area of the base+perimeter of base*height

area of the base=b²
perimeter of the base=4*b

surface area=b²+(4*b)*h------> SA=b²+4*b*h-----> equation 2

substitute equation 1 in equation 2
SA=b²+4*b*[256/b²]-----> SA=b²+1024/b-----> SA=(b³+1024)/b

the answer is

the formula of the volume of the box is  V=b²*h-----> 256=b²*h

the formula of the surface area of the box are
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