All categories

1 year ago

Find all solutions to 8x³-10x² - 21x + 18 = 0 if x= 2 is one solution.

Mathematics

1 answer:

lesantik [10]1 year ago

4 0

According to the given cubic equation 8x³-10x² - 21x + 18 = 0 the other value of x will be 4.

<h3>How does one solve a three-degree equation?</h3>

Traditionally, a cubic problem can be solved by converting it to a quadratic equation and then solving it using factoring or the quadratic formula. A cubic equation, like a quadratic equation, has three roots.

<h3>What is the simplest method for solving a cubic equation?</h3>

The typical strategy for solving a cubic problem is to convert it to a quadratic equation and then solve the quadratic using the standard methods, either factoring or using the formula. All of them are cubic equations. A cubic equation, like a quadratic equation, may have two or three real roots.

<h3>According to the given data:</h3>

8x³-10x² - 21x + 18 = 0

x= 2

substituting the value in the equation we get:

8x³-10x² - 21x + 18 = 0

8(2)³-10(2)² - 21(2) + 18 = 0

68 - 40 - 42 + 18 = 0

4 = 0

According to the given equation 8x³-10x² - 21x + 18 = 0 the other value of x will be 4.

To know more about cubic equation visit:

brainly.com/question/13730904

#SPJ9

You might be interested in

PLEASE HELP (50 points)

rjkz [21]

Answer:

Yes

Step-by-step explanation:

y=x+6 is the slope. (1,7) is 2 right and 2 up from (3,9)

6 0

3 years ago

Determine the volume of the space in the tank that still needs to be filled with water if the water is ⅓ ft. Deep

vlada-n [284]

Answer:

11 1/9 ft^3

Step-by-step explanation:

find the complete question in the attached image

volume of the tank = length x width x height

2 x 5 x 1 2/3

2 x 5 x 5/3 = 50/3 = 16 2/3 ft^3

If the tank is 1/3 filled with water, the volume that needs to be filled with water is 1 - 1/3 = 2/3

volume that needs to be filled with water = 2/3 x volume of the tank

2/3 x 50/3 = 11 1/9 ft^3

4 0

3 years ago

3/4 divided by 2/3 in simplest form

defon

9/8 because in dividing you multiply by the reciprocal so 3/4 x 3/2= 9/8

6 0

3 years ago

Read 2 more answers

Lincoln is measuring the angles of quadrilateral WXYZ to determine whether it is congruent to the quadrilateral below. Quadrilat

Artist 52 [7]

Answer:

If quadrilateral WXYZ is congruent to quadrilateral RSTQ, then its corresponding elements are also congruent.

That is,

$\angle R = 140\°= \angle W\\\angle S= 94 \° = \angle X\\\angle T= 79\° = \angle Y\\\angle Q = 47 \° = \angle Z$

Also,

$WX=RS\\XY=ST\\YZ=TQ\\WZ=RQ$

Therefore, the right answer is None of the Above.

8 0

4 years ago

Read 2 more answers

the volume of a gas varies inversely as the pressure upon it. if the volume of the gas is 160 cubic centimeters at a pressure of

marin [14]

It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:

V α 1/P

To change it to an equality, we introduce a proportionality constant, k. We do as follows:

V = k/P

So, to determine what is asked, we need to first calculate for the value of k.

V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280

Thus, at P = 87 cmHg
V = 17280 / 87
V = 198.62 m^3

4 0

3 years ago