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Created on: 2012-04-04

A sample problem solved by Quickmath online algebra calculator

finding solution to an (h<1.69585);

Command

Solve

Equation
2*(a+x)/b-3*(b+x)/a = 6*(a^2-2*b^2)/a*b

  1. an equation LHS is equal to a sum that comprises 2 terms; the 1st term of the sum is equal to a rational expression: the top of the rational expression is a product that consists of 2 factors; the 1st factor of the product is two; the 2nd factor of the product is equal to a sum containing 2 terms; the 1st term of the sum is equal to a; the 2nd term of the sum is equal to x; the bottom of the rational expression is b; the 2nd term of the sum is equal to a negative rational expression: the numerator of the rational expression is a product of 2 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is a sum comprising 2 terms; the 1st term of the sum is equal to b; the 2nd term of the sum is equal to x; the denominator of the rational expression is a Right side of the equation is a product comprising 2 factors; the 1st factor of the product is equal to a rational expression: the numerator of the rational expression is a product consisting of 2 factors; the 1st factor of the product is equal to six; the 2nd factor of the product is equal to a sum that comprises 2 terms; the 1st term of the sum is equal to a power; the base is a; the exponent is two; the 2nd term of the sum is a negative product containing 2 factors; the 1st factor of the product is equal to two; the 2nd factor of the product is a power; the base is b; the exponent is two; the denominator of the rational expression is a; the 2nd factor of the product is b;
  2. two times open parenthesis a plus x close parenthesis divided by b plus negative three times opening parenthesis b plus x closing parenthesis divided by a is six multiplied by open bracket a raised to the power of two plus negative two times b raised to the power of two close bracket fraction line a times b;
Variable
Result

Exact

x = (12*b^4+(-6*a^2-3)*b^2+2*a^2)/(3*b-2*a)

  1. an equation Left side of the equation is equal to x Right side of the equation is equal to a rational expression: the numerator of the rational expression is a sum that consists of 3 terms. The 1st term of the sum is a product comprising 2 factors. The 1st factor of the product is twelve. The 2nd factor of the product is equal to a power. The base is b. The exponent is four. The 2nd term of the sum is equal to a product comprising 2 factors. The 1st factor of the product is equal to a sum consisting of 2 terms. The 1st term of the sum is a product that comprises 2 factors. The 1st factor of the product is equal to negative six. The 2nd factor of the product is a power. The base is a. The exponent is two. The 2nd term of the sum is equal to negative three. The 2nd factor of the product is a power. The base is b. The exponent is two. The 3rd term of the sum is equal to a product consisting of 2 factors. The 1st factor of the product is two. The 2nd factor of the product is equal to a power. The base is a. The exponent is two. The denominator of the rational expression is a sum of 2 terms. The 1st term of the sum is a product consisting of 2 factors. The 1st factor of the product is three. The 2nd factor of the product is b. The 2nd term of the sum is a negative product of 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is equal to a.
  2. x is equal to twelve multiplied by b raised to the power of four plus open parenthesis negative six multiplied by a to the power two plus negative three close parenthesis multiplied by b raised to the power two plus two multiplied by a raised to the power two divided by three times b plus negative two times a;