Solve for x. 7x + = 4x - 5x + 12 x = 15/8 x = -9/2 x = 9/8 x = -15/2

x=-3

(1): "x4"   was replaced by   "x^4".  

Step by step solution :

STEP

1

:

Equation at the end of step 1

 4•(x4))-(21•(x3)))-(2•23x2))+219x)+180  = 0  

STEP  

2

:

Equation at the end of step

2

:

 4•(x4))-(3•7x3))-(2•23x2))+219x)+180  = 0  

STEP  

3

:

Equation at the end of step

3

:

 (((22x4 -  (3•7x3)) -  (2•23x2)) +  219x) +  180  = 0  

STEP

4

:

Polynomial Roots Calculator :

4.1    Find roots (zeroes) of :       F(x) = 4x4-21x3-46x2+219x+180

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  4  and the Trailing Constant is  180.

The factor(s) are:

of the Leading Coefficient :  1,2 ,4

of the Trailing Constant :  1 ,2 ,3 ,4 ,5 ,6 ,9 ,10 ,12 ,15 , etc

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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