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Created on: 2012-01-15

A sample problem solved by Quickmath web algebra calculator

Command

Solve

Equation
x^3+24*x^2+(-45)*x = 0

  1. an equation LHS is a sum containing 3 terms. The 1st term of the sum is equal to a power. The base is x. The exponent is three. The 2nd term of the sum is equal to a product that contains 2 factors. The 1st factor of the product is twenty four. The 2nd factor of the product is a power. The base is x. The exponent is two. The 3rd term of the sum is equal to a product containing 2 factors. The 1st factor of the product is equal to negative forty five. The 2nd factor of the product is equal to x RHS is equal to zero.
  2. x raised to the power three plus twenty four times x raised to the power two plus open parenthesis negative forty five close parenthesis multiplied by x is equal to zero;
Variable
Result

Exact

Solution 1 ( real )
x = -3*sqrt(21)-12

  1. an equation Left side of the equation is equal to x RHS is equal to a sum comprising 2 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 negative three. The 2nd factor of the product is equal to square root of twenty one. The 2nd term of the sum is equal to negative twelve.
  2. x is equal to negative three times square root of twenty one plus negative twelve;
Solution 2 ( real )
x = 3*sqrt(21)-12

  1. an equation LHS is x Right side of the equation is equal to a sum consisting of 2 terms. The 1st term of the sum is equal to a product that contains 2 factors. The 1st factor of the product is three. The 2nd factor of the product is equal to square root of twenty one. The 2nd term of the sum is equal to negative twelve.
  2. x is equal to three multiplied by square root of twenty one plus negative twelve;
Solution 3 ( real )
x = 0

  1. an equation LHS is equal to x RHS is zero;
  2. x is equal to zero.


Approximate

Solution 1 ( real )
x = -25.7477

  1. an equation LHS is equal to x RHS is negative twenty five point seven tenth, four hundredth, seven ten hundredth and seven thousandth.
  2. x is equal to negative twenty five point seven tenth, four hundredth, seven ten hundredth and seven thousandth;
Solution 2 ( real )
x = 1.74773

  1. an equation LHS is x Right side of the equation is one point seven four seven seven three.
  2. x is equal to one point seven tenth, four hundredth, seven ten hundredth, seven thousandth and three ten thousandth.
Solution 3 ( real )
x = 0.0

  1. an equation Left side of the equation is x RHS is equal to zero.
  2. x is equal to zero;