QuickMath Download on App Store Download on Google Play
Welcome to Quickmath Solvers! Download on App Store Download on Google Play
Created on: 2011-11-27

A sample problem solved by Quickmath web math calculator

the outcome of expanding a sum that contains 2 terms; 4*(9-3*((-2)*x-4)) | solving 2 = (3-4*t)/5 equation

Command

Solve

Equation
3*a+2*b+(3*a^2-a*b+(-2)*b^2) = 152+19
Visually impaired math text interpretations:
  1. an equation LHS is a sum of 3 terms. The first term of the sum is equal to a product containing 2 factors. The first factor of the product is equal to three. The second factor of the product is a. The second term of the sum is equal to a product containing 2 factors. The first factor of the product is two. The second factor of the product is equal to b. The third term of the sum is equal to a sum consisting of 3 terms. The first term of the sum is a product that comprises 2 factors. The first factor of the product is equal to three. The second factor of the product is equal to a power. The base is a. The exponent is two. The second term of the sum is a negative product that comprises 2 factors. The first factor of the product is equal to a. The second factor of the product is b. The third term of the sum is equal to a product that contains 2 factors. The first factor of the product is negative two. The second factor of the product is equal to a power. The base is b. The exponent is two RHS is a sum containing 2 terms. The first term of the sum is equal to one hundred fifty two. The second term of the sum is nineteen.
  2. three multiplied by a plus two times b plus opening bracket three times a to the power of two plus a negative multiplied by b plus left bracket negative two right bracket times b raised to the power of two closing bracket is equal to one hundred fifty two plus nineteen.
Variable
Result

Exact

Solution 1 ( real )
a = -(sqrt(25*b^2-30*b+2061)-b+3)/6
Visually impaired math text interpretations:
  1. an equation LHS is equal to a RHS is a fraction: the numerator of the fraction is a negative sum comprising 3 terms. The first term of the sum is square root of a sum containing 3 terms. The first term of the sum is a product that consists of 2 factors. The first factor of the product is equal to twenty five. The second factor of the product is equal to a power. The base is b. 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 thirty. The second factor of the product is b. The third term of the sum is equal to two thousand and sixty one. The second term of the sum is equal to negative b. The third term of the sum is three. The denominator of the fraction is six.
  2. a is equal to negative left parenthesis square root of twenty five multiplied by b to the power of two plus negative thirty multiplied by b plus two thousand and sixty one plus negative b plus three right parenthesis fraction line six;
Solution 2 ( real )
a = (sqrt(25*b^2-30*b+2061)+b-3)/6
Visually impaired math text interpretations:
  1. an equation Left side of the equation is a Right side of the equation is a fraction: the numerator of the fraction is a sum that comprises 3 terms. The first term of the sum is square root of a sum that consists of 3 terms. The first term of the sum is equal to a product containing 2 factors. The first factor of the product is equal to twenty five. The second factor of the product is equal to a power. The base is b. The exponent is two. The second term of the sum is a negative product consisting of 2 factors. The first factor of the product is equal to thirty. The second factor of the product is equal to b. The third term of the sum is equal to two thousand and sixty one. The second term of the sum is equal to b. The third term of the sum is equal to negative three. The denominator of the fraction is six.
  2. a is equal to opening bracket square root of twenty five times b to the power two plus negative thirty times b plus two thousand and sixty one plus b plus negative three closing bracket divided by six;


Approximate

Solution 1 ( real )
a = -.166667*sqrt(25.0*b^2-30.0*b+2061.0)+.166667*b-0.5
Visually impaired math text interpretations:
  1. an equation Left side of the equation is a Right side of the equation is equal to a sum containing 3 terms. The first term of the sum is equal to a product that consists of 2 factors. The first factor of the product is equal to negative zero point one six six six six seven. The second factor of the product is equal to square root of a sum that comprises 3 terms. The first term of the sum is equal to a product containing 2 factors. The first factor of the product is twenty five. The second factor of the product is a power. The base is b. The exponent is two. The second term of the sum is equal to a negative product that contains 2 factors. The first factor of the product is equal to thirty. The second factor of the product is equal to b. The third term of the sum is equal to two thousand and sixty one. The second term of the sum is equal to a product consisting of 2 factors. The first factor of the product is equal to zero point one six six six six seven. The second factor of the product is b. The third term of the sum is negative zero point five.
  2. a is equal to negative zero point one six six six six seven multiplied by square root of twenty five multiplied by b raised to the power two plus negative thirty times b plus two thousand and sixty one plus zero point one tenth, six hundredth, six ten hundredth, six thousandth, six ten thousandth and seven hundred thousandth times b plus negative zero point and five tenth;
Solution 2 ( real )
a = .166667*sqrt(25.0*b^2-30.0*b+2061.0)+.166667*b-0.5
Visually impaired math text interpretations:
  1. an equation LHS is equal to a Right side of the equation is equal to a sum that consists of 3 terms. The first term of the sum is equal to a product that comprises 2 factors. The first factor of the product is equal to zero point one tenth, six hundredth, six ten hundredth, six thousandth, six ten thousandth and seven hundred thousandth. The second factor of the product is square root of a sum containing 3 terms. The first term of the sum is a product that comprises 2 factors. The first factor of the product is twenty five. The second factor of the product is equal to a power. The base is b. 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 thirty. The second factor of the product is equal to b. The third term of the sum is two thousand and sixty one. The second term of the sum is equal to a product comprising 2 factors. The first factor of the product is equal to zero point one six six six six seven. The second factor of the product is b. The third term of the sum is equal to negative zero point and five tenth.
  2. a is zero point one tenth, six hundredth, six ten hundredth, six thousandth, six ten thousandth and seven hundred thousandth times square root of twenty five times b to the power of two plus negative thirty times b plus two thousand and sixty one plus zero point one tenth, six hundredth, six ten hundredth, six thousandth, six ten thousandth and seven hundred thousandth times b plus negative zero point five.