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3 years ago

X^3+9X^2–25X–33=0 Find The root of X??

Mathematics

1 answer:

Simora [160]3 years ago

6 0

Answer:

x=-11, -1, and 3

Step-by-step explanation:

x^3+9x^2-25x-33=0

There are formulas to solve cubics, but that probably is not the way you are expected to go. Here is a trial and error approach that works in this case.

Assume that the cubic can be factored and that the roots are r1, r2, and r3. Then the factored form is

(x-r1)(x-r2)(x-r3)=0

This shows that the constant must equal the product of the roots.

(r1)(r2)(r3)=-33

One possibility is that the roots are integers. In this case, a factor of 33 might work. Prime factorization of 33 gives 3 and 11. Try 3. Then (x-3) is a factor.

Divide the cubic by (x-3). It works. the result is

x^2+12x+11

This has factors of (x+11) and (x+1). Therefore, the roots are 3, -1, and -11

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In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts Co

Gnesinka [82]

Answer:

Proportions have not changed significantly ( B )

Step-by-step explanation:

GIVEN DATA :

Test statistic = 4.99

significance level = 1% = 0.01

k ( number of groups ) = 3

will we use the chi-squared test to determine the degree of freedom

which is : k-1 = 3 - 1 = 2

looking at the chi-square table to determine the critical value of the test

at significance level = 0.01 and degree of freedom = 2 the critical value = 9.21

Comparing the test value ( 4.99 ) and the critical value ( 9.21 ) it can seen that the test value < critical value which is a condition for not rejecting null hypothesis of the test.

therefore we won't reject the null hypothesis

7 0

3 years ago

NEED HELP ASP PLEASE HELP

Ganezh [65]

The initial value and base value are 12 and 4/3. The function is a growing function. The domain and the range of the function are real numbers.

<h3>What is an exponent?</h3>

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

The exponential function is given below.

f(x) = 12(4/3)ˣ

Then the initial value of the exponential function is 12.

Then the base value of the exponential function is 4/3.

If the base value if greater than 1 then the function is a growing function.

The domain and range of the function are real numbers.

More about the exponent link is given below.

brainly.com/question/5497425

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3 years ago

What is the area of a triangle with a base of 7 mm and a height of 10 mm

galina1969 [7]

Answer:

A≈3.5×10-5m²

Step-by-step explanation:

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3 years ago

A can of beans has surface area 320cm squared . Its height is 14 cm. What is the radius of the circular top?

Ratling [72]

Steps:

All cans take on the shape of a cylinder, unless you have seen interesting shape of cans like a starfish.

The formula for surface area of a cylinder is

SA = 2πr2 + 2πrh

where:

r = radius

h = height

Since we know the surface area and height, we can plug them in. Note that we can factor out the 2π. You will see why we factor out 2π rather than 2πr.

2π(r2 + (20)r) = 396

2π(r2 + 20r) = 396

Divide both sides of the equation by 2π to isolate the r terms.

r2 + 20r = 63.025

Subtract 63.025 on both sides of the equation.

r2 + 20r - 63.025 = 0

Use the quadratic formula to solve for r:

r = (-b ± √(b2 - 4ac)) / 2a

where:

a = 1

b = 20

c = -63.025

Plug in these values into the formula. You should get two solutions because of the plus/minus sign. Accept the positive value of r.

Please mark brainliest

<em><u>Hope this helps.</u></em>

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3 years ago

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sveticcg [70]

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