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Alla [95]
3 years ago
13

Solve x3 – 25 Please HELP

Mathematics
2 answers:
Iteru [2.4K]3 years ago
8 0
There is no solution it’s in final form
PolarNik [594]3 years ago
7 0

Answer:  x = ∛25 = 2.9240

Step-by-step explanation:x3-25=0

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x3"   was replaced by   "x^3".

Step by step solution :

Step  1  :

Trying to factor as a Difference of Cubes:

1.1      Factoring:  x3-25

Theory : A difference of two perfect cubes,  a3 - b3 can be factored into

             (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =

           a3+a2b+ab2-ba2-b2a-b3 =

           a3+(a2b-ba2)+(ab2-b2a)-b3 =

           a3+0+0+b3 =

           a3+b3

Check :  25  is not a cube !!

Ruling : Binomial can not be factored as the difference of two perfect cubes

Polynomial Roots Calculator :

1.2    Find roots (zeroes) of :       F(x) = x3-25

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -25.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,5 ,25

   P      Q      P/Q      F(P/Q)       Divisor

      -1         1          -1.00          -26.00      

      -5         1          -5.00          -150.00      

      -25         1         -25.00         -15650.00      

      1         1          1.00          -24.00      

      5         1          5.00          100.00      

      25         1          25.00         15600.00      

Polynomial Roots Calculator found no rational roots

Equation at the end of step  1  :

 x3 - 25  = 0

Step  2  :

Solving a Single Variable Equation :

2.1      Solve  :    x3-25 = 0

Add  25  to both sides of the equation :

                     x3 = 25

When two things are equal, their cube roots are equal. Taking the cube root of the two sides of the equation we get:  

                     x  =  ∛ 25  

The equation has one real solution

This solution is  x = ∛25 = 2.9240

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beks73 [17]

Answer:

\frac{3}{4}

Step-by-step explanation:

To find the quotient, we first need to know what quotient means.

Quotient is the solution to division problems.

So here is how we have to do this, first we identify our fractions:

\frac{1}{6}   and    \frac{2}{9}

Next, we must turn the fraction we are dividing by into a reciprocate:

\frac{2}{9} turns into \frac{9}{2}

Now we have \frac{1}{6} and \frac{9}{2}

Next, we multiply!:

\frac{1}{6} x \frac{9}{2} = \frac{9}{12}

Simplified:

\frac{3}{4}

8 0
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Klio2033 [76]

Answer:

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Step-by-step explanation:

Equation: 35=.05x-20

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Answer:

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Step-by-step explanation:

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3 years ago
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