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Created on: 2012-04-03

A sample problem solved by Quickmath algebra solver

analyze how to factorize a sum containing 2 terms. (4*a^3+16*a^2)/(4*a^2+12*a)*((a^2-a-12)/(a^3-16*a))*((a^3+8)/(a^2-2*a+4)) | result of solving an equation 27*x^4+63*x^3+(-30)*x^2+(-16)*x = 0

Command

Solve

Equation
r^2+3*r = 7

  1. an equation Left side of the equation is a sum that consists of 2 terms; the 1st term of the sum is equal to a power; the base is r; the exponent is two; the 2nd term of the sum is equal to a product that contains 2 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is r Right side of the equation is equal to seven;
  2. r to the power of two plus three multiplied by r is seven.
Variable
Result

Exact

Solution 1 ( real )
r = -(sqrt(37)+3)/2

  1. an equation Left side of the equation is equal to r Right side of the equation is equal to a fraction: the numerator of the fraction is a negative sum that consists of 2 terms. The 1st term of the sum is square root of thirty seven. The 2nd term of the sum is equal to three. The denominator of the fraction is two.
  2. r is equal to negative opening bracket square root of thirty seven plus three closing bracket fraction line two.
Solution 2 ( real )
r = (sqrt(37)-3)/2

  1. an equation LHS is r RHS is equal to a fraction: the top of the fraction is a sum consisting of 2 terms; the 1st term of the sum is equal to square root of thirty seven; the 2nd term of the sum is equal to negative three; the bottom of the fraction is two;
  2. r is equal to square root of thirty seven plus negative three over two.


Approximate

Solution 1 ( real )
r = -4.54138

  1. an equation LHS is equal to r RHS is equal to negative four point five tenth, four hundredth, one ten hundredth, three thousandth and eight ten thousandth;
  2. r is equal to negative four point five tenth, four hundredth, one ten hundredth, three thousandth and eight ten thousandth.
Solution 2 ( real )
r = 1.54138

  1. an equation Left side of the equation is r RHS is equal to one point five tenth, four hundredth, one ten hundredth, three thousandth and eight ten thousandth;
  2. r is one point five four one three eight.