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Created on: 2011-11-23

A sample problem solved by Quickmath web algebra calculator

finding solution to m^2/3+2*m^1/3-8 = 0 equation | study how to factorize 3*x^2-30*x+75+(-3)*y^2

Command

Solve

Equation
6*x^2+2*x+4 = 0
Visually impaired math text interpretations:
  1. an equation LHS is a sum of 3 terms; the 1st term of the sum is equal to a product comprising 2 factors; the 1st factor of the product is equal to six; the 2nd factor of the product is equal to a power; the base is x; the exponent is two; the 2nd term of the sum is a product consisting of 2 factors; the 1st factor of the product is equal to two; the 2nd factor of the product is equal to x; the 3rd term of the sum is four RHS is equal to zero;
  2. six multiplied by x to the power two plus two times x plus four is zero.
Variable
Result

Exact

Solution 1 ( complex )
x = -(sqrt(23)*%i+1)/6
Visually impaired math text interpretations:
  1. an equation Left side of the equation is x Right side of the equation is a fraction: the top of the fraction is a negative sum comprising 2 terms; the 1st term of the sum is a product consisting of 2 factors; the 1st factor of the product is equal to square root of twenty three; the 2nd factor of the product is i; the 2nd term of the sum is one; the bottom of the fraction is six;
  2. x is equal to negative open bracket square root of twenty three times i plus one close bracket over six.
Solution 2 ( complex )
x = (sqrt(23)*%i-1)/6
Visually impaired math text interpretations:
  1. an equation Left side of the equation is equal to x Right side of the equation is a quotient: dividend of the quotient is a sum of 2 terms. The 1st term of the sum is equal to a product comprising 2 factors. The 1st factor of the product is square root of twenty three. The 2nd factor of the product is equal to i. The 2nd term of the sum is equal to negative one. Divisor of the quotient is six.
  2. x is open bracket square root of twenty three multiplied by i plus negative one close bracket divided by six.


Approximate

Solution 1 ( complex )
x = -.799305*%i-.166667
Visually impaired math text interpretations:
  1. an equation LHS is x Right side of the equation is equal to a sum that comprises 2 terms; the 1st term of the sum is a product that contains 2 factors; the 1st factor of the product is equal to negative zero point seven nine nine three zero five; the 2nd factor of the product is i; the 2nd term of the sum is equal to negative zero point one tenth, six hundredth, six ten hundredth, six thousandth, six ten thousandth and seven hundred thousandth;
  2. x is negative zero point seven nine nine three zero five multiplied by i plus negative zero point one tenth, six hundredth, six ten hundredth, six thousandth, six ten thousandth and seven hundred thousandth;
Solution 2 ( complex )
x = .799305*%i-.166667
Visually impaired math text interpretations:
  1. an equation Left side of the equation is equal to x RHS is equal to a sum that consists of 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 zero point seven nine nine three zero five. The 2nd factor of the product is i. The 2nd term of the sum is equal to negative zero point one tenth, six hundredth, six ten hundredth, six thousandth, six ten thousandth and seven hundred thousandth.
  2. x is zero point seven tenth, nine hundredth, nine ten hundredth, three thousandth and five hundred thousandth multiplied by i plus negative zero point one tenth, six hundredth, six ten hundredth, six thousandth, six ten thousandth and seven hundred thousandth;