SOLUTION: find 4 rational numbers such that the product of the 1st 2nd and 4th is 54. The 2nd number is 2 less than the 1st number, the 3rd number is 5 less than the 2nd number and the 4th n

Question 1174021: find 4 rational numbers such that the product of the 1st 2nd and 4th is 54. The 2nd number is 2 less than the 1st number, the 3rd number is 5 less than the 2nd number and the 4th number is 3 less than the 3rd number
Answer by ikleyn(52887) (Show Source): You can put this solution on YOUR website!
.
find 4 rational numbers such that the product of the 1st 2nd and 4th is 54. The 2nd number is 2 less than the 1st number,
the 3rd number is 5 less than the 2nd number and the 4th number is 3 less than the 3rd number
~~~~~~~~~~~~~~~

This problem HAS NO solutions in rational numbers.

The equation is  

    x*(x-2)*(x-7)*(x-10) = 154,   

or

    x^4 - 19x^3 + 104x^2 - 140x - 154 = 0.


       +------------------------------------------------------+
       |     The  DIAGNOSIS  (obtained with special software  |
       |         using specialized web-site)  is THIS         |
       +------------------------------------------------------+


Result:


The roots of the polynomial x 

    x^4 - 19x^3 + 104x^2 - 140x - 154

are


x1 = −0.31014

x2 = 2.63744

x3 = 6.47111

x4 = 10.20159


Explanation:

This polynomial has no rational roots that can be found using Rational Root Test.

Roots were found using quartic formulas.

So, the problem is a FAKE.

You, the visitor, simply stole my time.

RELATED QUESTIONS
find 4 rational numbers such that the product of the 1st 2nd and 3rd is 54. The 2nd... (answered by ankor@dixie-net.com)

Find 4 consecutive even integers such that 2 times the sum of the 1st and 2nd is 14 more... (answered by stanbon)

find the 5 digit number that has the following characteristics. -no 2 digits are the... (answered by prince_abubu)

Hi. The sum of three numbers is 4. If you subtract the third number from the second,... (answered by Boreal)

Find 3 consecutive numbers such that the sum of the 1st and 3rd numbers exceeds the 2nd... (answered by Alan3354)

the sum of 3 numbers is 137. the 2nd number is 4 more than 2 times the 1st number. The... (answered by checkley77)

Find 4 consecutive even integers such that sum of the 1st and 4th is the same as the sum... (answered by Mathtut)

The product of 2 numbers is 72. The 1st number is 8 times bigger than the 2nd number.... (answered by Alan3354)