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Created on: 2012-02-18

A sample problem solved by Quickmath math solver

Command

Solve

Equation
(-35.29)*x^2+520.02*x-386.4 = 0

  1. an equation LHS is equal to a sum that contains 3 terms; the first term of the sum is equal to a product consisting of 2 factors; the first factor of the product is equal to negative thirty five point two nine; the second factor of the product is equal to a power; the base is x; the exponent is two; the second term of the sum is equal to a product comprising 2 factors; the first factor of the product is equal to five hundred and twenty point zero two; the second factor of the product is equal to x; the third term of the sum is equal to negative three hundred and eighty six point four RHS is equal to zero;
  2. opening parenthesis negative thirty five point two tenth and nine hundredth closing parenthesis times x raised to the power of two plus five hundred and twenty point zero two times x plus negative three hundred and eighty six point four is zero.
Variable
Result

Exact

Solution 1 ( real )
x = -(sqrt(539691441)-26001)/3529

  1. an equation Left side of the equation is x RHS is equal to a quotient: dividend of the quotient is a negative sum that comprises 2 terms; the first term of the sum is square root of five hundred and thirty nine million and six hundred and ninety one thousand and four hundred and forty one; the second term of the sum is equal to negative twenty six thousand and one; divisor of the quotient is three thousand and five hundred and twenty nine;
  2. x is equal to negative opening parenthesis square root of five hundred and thirty nine million and six hundred and ninety one thousand and four hundred and forty one plus negative twenty six thousand and one closing parenthesis fraction line three thousand and five hundred and twenty nine.
Solution 2 ( real )
x = (sqrt(539691441)+26001)/3529

  1. an equation Left side of the equation is equal to x RHS is equal to a rational expression: the numerator of the rational expression is a sum comprising 2 terms; the first term of the sum is equal to square root of five hundred and thirty nine million and six hundred and ninety one thousand and four hundred and forty one; the second term of the sum is twenty six thousand and one; the denominator of the rational expression is three thousand and five hundred and twenty nine;
  2. x is equal to square root of five hundred and thirty nine million and six hundred and ninety one thousand and four hundred and forty one plus twenty six thousand and one divided by three thousand and five hundred and twenty nine;


Approximate

Solution 1 ( real )
x = .784851

  1. an equation LHS is equal to x RHS is equal to zero point seven eight four eight five one.
  2. x is zero point seven eight four eight five one;
Solution 2 ( real )
x = 13.9508

  1. an equation LHS is x Right side of the equation is equal to thirteen point nine tenth, five hundredth and eight thousandth.
  2. x is thirteen point nine five zero eight.