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Created on: 2012-01-30

A sample problem solved by Quickmath online algebra calculator

a product containing 3 factors; the 1st factor of the product is equal to 2; the 2nd factor of the product is equal to (3*x^2+-2); the 3rd factor of the product is (3*y+-4); factored

Command

Solve

Equation
(m+131)^3/100 = 81

  1. an equation Left side of the equation is a fraction: the numerator of the fraction is a power; the base is a sum containing 2 terms; the 1st term of the sum is equal to m; the 2nd term of the sum is equal to one hundred thirty one; the exponent is three; the denominator of the fraction is one hundred RHS is equal to eighty one;
  2. left bracket m plus one hundred thirty one right bracket to the power of three divided by one hundred is equal to eighty one.
Variable
Result

Exact

Solution 1 ( complex )
m = 3*300^(1/3)*(-sqrt(3)*%i/2-1/2)-131

  1. an equation Left side of the equation is equal to m RHS is equal to a sum comprising 2 terms. The 1st term of the sum is equal to a product that contains 3 factors. The 1st factor of the product is equal to three. The 2nd factor of the product is a power. The base is three hundred. The exponent is a rational expression: the numerator of the rational expression is one. The denominator of the rational expression is three. The 3rd factor of the product is 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 negative square root of three. The 2nd factor of the product is equal to i. The bottom of the rational expression is two. The 2nd term of the sum is equal to a negative quotient: dividend of the quotient is one. Divisor of the quotient is two. The 2nd term of the sum is equal to negative one hundred thirty one.
  2. m is equal to three multiplied by three hundred raised to the power of one over three multiplied by open brace negative square root of three times i fraction line two plus negative one fraction line two close brace plus negative one hundred thirty one;
Solution 2 ( complex )
m = 3*300^(1/3)*(sqrt(3)*%i/2-1/2)-131

  1. an equation LHS is equal to m RHS is a sum containing 2 terms; the 1st term of the sum is a product that comprises 3 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is equal to a power; the base is three hundred; the exponent is a rational expression: the numerator of the rational expression is one; the denominator of the rational expression is three; the 3rd factor of the product is equal to a sum comprising 2 terms; the 1st term of the sum is equal to a quotient: dividend of the quotient is a product comprising 2 factors; the 1st factor of the product is square root of three; the 2nd factor of the product is i; divisor of the quotient is two; the 2nd term of the sum is equal to a negative quotient: dividend of the quotient is one; divisor of the quotient is two; the 2nd term of the sum is equal to negative one hundred thirty one;
  2. m is three multiplied by three hundred exponentiated by one fraction line three multiplied by open bracket square root of three times i fraction line two plus negative one over two close bracket plus negative one hundred thirty one;
Solution 3 ( real )
m = (9*300^(1/3)-393)/3

  1. an equation Left side of the equation is m RHS is equal to a fraction: the numerator of the fraction is a sum containing 2 terms. The 1st term of the sum is a product that comprises 2 factors. The 1st factor of the product is nine. The 2nd factor of the product is equal to a power. The base is three hundred. The exponent is a fraction: the numerator of the fraction is one. The denominator of the fraction is three. The 2nd term of the sum is negative three hundred and ninety three. The denominator of the fraction is three.
  2. m is equal to nine multiplied by three hundred to the power of one over three plus negative three hundred and ninety three over three.


Approximate

Solution 1 ( complex )
m = -17.3924*%i-141.041

  1. an equation LHS is equal to m Right side of the equation is a sum containing 2 terms; the 1st term of the sum is equal to a product that consists of 2 factors; the 1st factor of the product is equal to negative seventeen point three tenth, nine hundredth, two ten hundredth and four thousandth; the 2nd factor of the product is equal to i; the 2nd term of the sum is equal to negative one hundred forty one point zero four one;
  2. m is equal to negative seventeen point three tenth, nine hundredth, two ten hundredth and four thousandth times i plus negative one hundred forty one point four hundredth and one ten hundredth.
Solution 2 ( complex )
m = 17.3924*%i-141.041

  1. an equation Left side of the equation is equal to m Right side of the equation is equal to a sum that comprises 2 terms. The 1st term of the sum is equal to a product of 2 factors. The 1st factor of the product is seventeen point three tenth, nine hundredth, two ten hundredth and four thousandth. The 2nd factor of the product is equal to i. The 2nd term of the sum is equal to negative one hundred forty one point zero four one.
  2. m is equal to seventeen point three tenth, nine hundredth, two ten hundredth and four thousandth times i plus negative one hundred forty one point zero four one;
Solution 3 ( real )
m = -110.917

  1. an equation LHS is equal to m RHS is equal to negative one hundred ten point nine tenth, one hundredth and seven ten hundredth.
  2. m is negative one hundred ten point nine one seven;