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Created on: 2012-02-10

A sample problem solved by Quickmath online algebra solver

Command

Solve

Equation
5000^2 = x^2+(5000-x+0.633/2)^2+(-2)*x*(5000-x+0.633/2)*cos(%pi-0.04)

  1. an equation LHS is equal to a power; the base is five thousand; the exponent is two RHS is equal to a sum that contains 3 terms; the first term of the sum is equal to a power; the base is x; the exponent is two; the second term of the sum is a power; the base is a sum consisting of 3 terms; the first term of the sum is five thousand; the second term of the sum is negative x; the third term of the sum is equal to a quotient: dividend of the quotient is zero point six three three; divisor of the quotient is two; the exponent is two; the third term of the sum is a product of 4 factors; the first factor of the product is equal to negative two; the second factor of the product is equal to x; the third factor of the product is equal to a sum that comprises 3 terms; the first term of the sum is equal to five thousand; the second term of the sum is equal to negative x; the third term of the sum is equal to a rational expression: the top of the rational expression is zero point six three three; the bottom of the rational expression is two; the four factor of the product is equal to cosine of a sum of 2 terms; the first term of the sum is; pi; the second term of the sum is equal to negative zero point and four hundredth;
  2. five thousand raised to the power of two is x to the power of two plus open brace five thousand plus negative x plus zero point six tenth, three hundredth and three ten hundredth over two close brace to the power two plus opening parenthesis negative two closing parenthesis multiplied by x times left parenthesis five thousand plus negative x plus zero point six three three fraction line two right parenthesis multiplied by cosine of. Pi plus negative zero point zero four.
Variable
Result

Exact

Solution 1 ( real )
x = -(75*sqrt(2294396753)-4345275)/1738

  1. an equation LHS is x RHS is a fraction: the top of the fraction is a negative sum containing 2 terms; the first term of the sum is equal to a product comprising 2 factors; the first factor of the product is equal to seventy five; the second factor of the product is square root of two billion and two hundred and ninety four million and three hundred and ninety six thousand and seven hundred and fifty three; the second term of the sum is equal to negative four million and three hundred and forty five thousand and two hundred and seventy five; the bottom of the fraction is one thousand seven hundred and thirty eight;
  2. x is negative opening brace seventy five times square root of two billion and two hundred and ninety four million and three hundred and ninety six thousand and seven hundred and fifty three plus negative four million and three hundred and forty five thousand and two hundred and seventy five closing brace over one thousand seven hundred and thirty eight;
Solution 2 ( real )
x = (75*sqrt(2294396753)+4345275)/1738

  1. an equation LHS is equal to x Right side of the equation is equal to a quotient: dividend of the quotient is a sum containing 2 terms. The first term of the sum is a product that contains 2 factors. The first factor of the product is seventy five. The second factor of the product is square root of two billion and two hundred and ninety four million and three hundred and ninety six thousand and seven hundred and fifty three. The second term of the sum is four million and three hundred and forty five thousand and two hundred and seventy five. Divisor of the quotient is one thousand seven hundred and thirty eight.
  2. x is equal to seventy five times square root of two billion and two hundred and ninety four million and three hundred and ninety six thousand and seven hundred and fifty three plus four million and three hundred and forty five thousand and two hundred and seventy five divided by one thousand seven hundred and thirty eight;


Approximate

Solution 1 ( real )
x = 433.133

  1. an equation Left side of the equation is equal to x Right side of the equation is equal to four hundred and thirty three point one tenth, three hundredth and three ten hundredth;
  2. x is four hundred and thirty three point one three three;
Solution 2 ( real )
x = 4567.18

  1. an equation Left side of the equation is equal to x Right side of the equation is four thousand and five hundred and sixty seven point one tenth and eight hundredth;
  2. x is equal to four thousand and five hundred and sixty seven point one eight;