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Created on: 2012-01-22

A sample problem solved by Quickmath online algebra calculator

Command

Solve

Inequality
(x-3)*(x+2) >= 5

  1. an inequality in which left side of inequality larger than or equal to right side of inequality; the left side of the inequality is equal to a product consisting of 2 factors; the first factor of the product is equal to a sum consisting of 2 terms; the first term of the sum is equal to x; the second term of the sum is equal to negative three; the second factor of the product is equal to a sum containing 2 terms; the first term of the sum is x; the second term of the sum is equal to two; the right side of the inequality is five;
  2. open bracket x plus negative three close bracket multiplied by open bracket x plus two close bracket larger or equal than five.
Variable
Result

Exact

<<<<x <= -(3*sqrt(5)-1)/2>>,<<x >= (3*sqrt(5)+1)/2>>>>

  1. an inequality in which left side of inequality smaller than or equal to right side of inequality. The left side of the inequality is x. The right side of the inequality is a quotient: dividend of the quotient is a negative sum consisting of 2 terms. The first term of the sum is equal to a product of 2 factors. The first factor of the product is equal to three. The second factor of the product is square root of five. The second term of the sum is equal to negative one. Divisor of the quotient is two new line an inequality in which left side of inequality larger than or equal to right side of inequality. The left side of the inequality is equal to x. The right side of the inequality is equal to a fraction: the numerator of the fraction is a sum consisting of 2 terms. The first term of the sum is equal to a product consisting of 2 factors. The first factor of the product is equal to three. The second factor of the product is square root of five. The second term of the sum is equal to one. The denominator of the fraction is two.
  2. left bracket opening brace x less or equal than negative left parenthesis three multiplied by square root of five plus negative one right parenthesis fraction line two closing brace new line left parenthesis x greater or equal than three multiplied by square root of five plus one fraction line two right parenthesis right bracket.


Approximate

<<<<x <= -2.8541>>,<<x >= 3.8541>>>>

  1. an inequality in which left side of inequality less than or equal to right side of inequality; the left side of the inequality is equal to x; the right side of the inequality is negative two point eight tenth, five hundredth, four ten hundredth and one thousandth new line an inequality in which left side of inequality larger than or equal to right side of inequality; the left side of the inequality is x; the right side of the inequality is equal to three point eight tenth, five hundredth, four ten hundredth and one thousandth;
  2. left brace opening bracket x smaller or equal than negative two point eight tenth, five hundredth, four ten hundredth and one thousandth closing bracket new line open brace x larger or equal than three point eight tenth, five hundredth, four ten hundredth and one thousandth close brace right brace.