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Created on: 2012-02-25

A sample problem solved by Quickmath math calculator

reducing a (x^2-7*x+8)^6 | splitting a sum containing 2 terms; to partial fractions

Command

Solve

Equation
27*x^4+63*x^3+(-30)*x^2+(-16)*x = 0

  1. an equation Left side of the equation is equal to a sum consisting of 4 terms. The 1st term of the sum is equal to a product that comprises 2 factors. The 1st factor of the product is equal to twenty seven. The 2nd factor of the product is equal to a power. The base is x. The exponent is four. The 2nd term of the sum is equal to a product that contains 2 factors. The 1st factor of the product is equal to sixty three. The 2nd factor of the product is equal to a power. The base is x. The exponent is three. The 3rd term of the sum is equal to a product comprising 2 factors. The 1st factor of the product is negative thirty. The 2nd factor of the product is equal to a power. The base is x. The exponent is two. The 4th term of the sum is a product containing 2 factors. The 1st factor of the product is negative sixteen. The 2nd factor of the product is equal to x Right side of the equation is equal to zero.
  2. twenty seven multiplied by x raised to the power four plus sixty three multiplied by x exponentiated by three plus open parenthesis negative thirty close parenthesis times x to the power two plus open brace negative sixteen close brace multiplied by x is equal to zero;
Variable
Result

Exact

Solution 1 ( real )
x = -1/3

  1. an equation LHS is equal to x Right side of the equation is equal to a rational expression: the numerator of the rational expression is negative one. The denominator of the rational expression is three.
  2. x is equal to negative one divided by three;
Solution 2 ( real )
x = 2/3

  1. an equation Left side of the equation is x Right side of the equation is equal to a rational expression: the numerator of the rational expression is two. The denominator of the rational expression is three.
  2. x is two fraction line three;
Solution 3 ( real )
x = -8/3

  1. an equation Left side of the equation is x Right side of the equation is equal to a quotient: dividend of the quotient is negative eight. Divisor of the quotient is three.
  2. x is negative eight divided by three;
Solution 4 ( real )
x = 0

  1. an equation LHS is equal to x Right side of the equation is equal to zero.
  2. x is zero;


Approximate

Solution 1 ( real )
x = -.333333

  1. an equation Left side of the equation is x Right side of the equation is equal to negative zero point three tenth, three hundredth, three ten hundredth, three thousandth, three ten thousandth and three hundred thousandth.
  2. x is negative zero point three tenth, three hundredth, three ten hundredth, three thousandth, three ten thousandth and three hundred thousandth.
Solution 2 ( real )
x = .666667

  1. an equation LHS is equal to x RHS is zero point six six six six six seven.
  2. x is zero point six tenth, six hundredth, six ten hundredth, six thousandth, six ten thousandth and seven hundred thousandth.
Solution 3 ( real )
x = -2.66667

  1. an equation LHS is x Right side of the equation is equal to negative two point six tenth, six hundredth, six ten hundredth, six thousandth and seven ten thousandth;
  2. x is equal to negative two point six six six six seven;
Solution 4 ( real )
x = 0.0

  1. an equation LHS is x Right side of the equation is equal to zero;
  2. x is equal to zero.