Created on: 2012-04-14

A sample problem solved by Quickmath math solver

Command

Solve

Inequality
((-3)*x^2+15*x)/x^2-7*x+10 < 0

  1. an inequality in which left side of inequality smaller than right side of inequality; the left side of the inequality is a sum consisting of 3 terms; the first term of the sum is equal to a rational expression: the numerator of the rational expression is a sum that comprises 2 terms; the first term of the sum is a product of 2 factors; the first factor of the product is negative three; the second factor of the product is equal to a power; the base is x; the exponent is two; the second term of the sum is equal to a product that contains 2 factors; the first factor of the product is fifteen; the second factor of the product is equal to x; the denominator of the rational expression is a power; the base is x; the exponent is two; the second term of the sum is equal to a negative product that comprises 2 factors; the first factor of the product is equal to seven; the second factor of the product is x; the third term of the sum is equal to ten; the right side of the inequality is zero;
  2. left brace negative three right brace multiplied by x to the power two plus fifteen times x divided by x to the power of two plus negative seven multiplied by x plus ten less than zero.
Variable
Result
A nonpolynomial inequality has been used, so the solution set may be incorrect.

Exact

<<0 < x,7*x^2-7*x-15 > 0>> or <<x < 0,-(7*x^2-7*x-15) > 0>>

  1. an inequality in which left side of inequality less than right side of inequality; the left side of the inequality is equal to x; the right side of the inequality is equal to zero new line an inequality in which left side of inequality greater than right side of inequality; the left side of the inequality is a negative sum containing 3 terms; the first term of the sum is equal to a product containing 2 factors; the first factor of the product is seven; the second factor of the product is a power; the base is x; the exponent is two; the second term of the sum is equal to a negative product consisting of 2 factors; the first factor of the product is equal to seven; the second factor of the product is x; the third term of the sum is equal to negative fifteen; the right side of the inequality is equal to zero;
  2. open parenthesis x less than zero new line negative open parenthesis seven multiplied by x raised to the power two plus negative seven times x plus negative fifteen close parenthesis greater than zero close parenthesis;