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Molodets [167]
3 years ago
6

Find all solutions to

Mathematics
1 answer:
BARSIC [14]3 years ago
7 0

Answer:

x= 0 , \frac{1}{14} , \frac{-1}{12}

Step-by-step explanation:

Given, equation is \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x}. →→→ (1)

Now, by cubing the equation on both sides, we get

( \sqrt[3]{15x-1} + \sqrt[3]{13x+1} )³ = (4\sqrt[3]{x})³

⇒ (15x-1) + (13x+1) + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{15x-1} + \sqrt[3]{13x+1}) = 64 x.

⇒ 28x + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (4\sqrt[3]{x}) = 64x.        

(since from (1),  \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x})

⇒ 12× \sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{x})= 36x.

⇒ 3x = \sqrt[3]{(15x-1)(13+1)(x)}.

Now, once again cubing on both sides, we get

(3x)³ = (\sqrt[3]{(15x-1)(13+1)(x)})³.

⇒ 27x³ = (15x-1)(13x+1)(x).

⇒ 27x³ = 195x³ + 2x² - x

⇒ 168x³ + 2x² - x = 0

⇒ x(168x² + 2x -1) = 0

⇒ by, solving the equation we get ,

x = 0 ; x = \frac{1}{14} ; x = \frac{-1}{12}

therefore, solution is x= 0 , \frac{1}{14} , \frac{-1}{12}

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PLEASE HELP ITS A TIMED QUIZ IM DESPERATE ILL GIVE U BRAINLIEST AND A THANKS PLEASE
den301095 [7]

Answer:

2000 = 600 + 2/5x ; 3500 ft

How To Solve:

2000 = 600 + 2/5x

Combine multiplied terms into a single fraction

2000 = 600 + 2/5x

2000 = 600 + 2x/5

Subtract 600 from both sides of the equation

2000 = 600 + 2x/5

2000 - 600 = 600 + 2x/5 - 600

Simplify

Subtract the numbers

1400 = 600 + 2x/5 − 600

Subtract the numbers

1400 = 2x/5

Solution

X = 3500

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750.8 square inches
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Suppose the population of deer in a state is 15,430 and is growing 2% each year. Predict the population after 8 years.
Dennis_Churaev [7]
A = 15,430(1+.02)^8
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1. How many squares will it take<br> to cover the figure below?
Ne4ueva [31]

Answer:

Unable to tell you

Step-by-step explanation:

Due to the fact we can't see the shape below, we are unable to help you. make sure to post a picture next time!

8 0
3 years ago
During the course of working on a wiring job, an electrician checks out the following cable stocks from the storeroom: 5 reels,
grin007 [14]

A)The reels did the electrician check out from the storeroom is 16 reels.

B) 800 feet of cable were checked our from the storeroom, if each reel has 50 feet of wire.

C) 730  feet of cable did the electrician use on the job.

Given that during the course of working on a wiring job, an electrician checks out the following cable stocks from the storeroom: 5 reels, 3 reels, 1 reel, 3 reels, and 4 reels. at the end pf the job he returns to the storeroom 1 full reel and a partial reel with 20 feet remaining.

The total number of reels are 16 in the store room and each reel is of 50 feet . As a result total reel has 800 feet and at last he left with 1 reel and 20 feet reels so that reel that left is 730 feet

Therefore,A)The reels did the electrician check out from the storeroom is 16 reels.

B) 800 feet of cable were checked our from the storeroom, if each reel has 50 feet of wire.

C) 730  feet of cable did the electrician use on the job.

Learn more about feet here:

brainly.com/question/15658113

#SPJ4

5 0
1 year ago
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