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Created on: 2012-02-22

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A sample problem solved by Quickmath online algebra calculator

solution to abs(2*x-10) < 5 | addding 1/(x-1)^2+4/(x-1)+(-1)*(x^2+1)

Command

Solve

Equation
2.0*10^-9 = x^2/(1.4-x)

  1. an equation Left side of the equation is equal to a product containing 2 factors; the 1st factor of the product is equal to two; the 2nd factor of the product is equal to a power; the base is ten; the exponent is negative nine RHS is equal to a rational expression: the top of the rational expression is a power; the base is x; the exponent is two; the bottom of the rational expression is a sum comprising 2 terms; the 1st term of the sum is one point four; the 2nd term of the sum is equal to negative x;
  2. two multiplied by ten raised to the power negative nine is equal to x raised to the power of two fraction line one point four plus negative x.
Variable
Result

Exact

Solution 1 ( real )
x = -(3*sqrt(7777777765)+5)/4999999990

  1. an equation LHS is x Right side of the equation is equal to a quotient: dividend of the quotient is a negative sum that comprises 2 terms. The 1st term of the sum is equal to a product that contains 2 factors. The 1st factor of the product is equal to three. The 2nd factor of the product is square root of seven billion and seven hundred and seventy seven million and seven hundred and seventy seven thousand and seven hundred and sixty five. The 2nd term of the sum is equal to five. Divisor of the quotient is four billion and nine hundred and ninety nine million and nine hundred and ninety nine thousand and nine hundred and ninety.
  2. x is equal to negative left parenthesis three times square root of seven billion and seven hundred and seventy seven million and seven hundred and seventy seven thousand and seven hundred and sixty five plus five right parenthesis fraction line four billion and nine hundred and ninety nine million and nine hundred and ninety nine thousand and nine hundred and ninety;
Solution 2 ( real )
x = (3*sqrt(7777777765)-5)/4999999990

  1. an equation Left side of the equation is equal to x RHS is a rational expression: the numerator of the rational expression is a sum containing 2 terms; the 1st term of the sum is equal to a product of 2 factors; the 1st factor of the product is equal to three; the 2nd factor of the product is square root of seven billion and seven hundred and seventy seven million and seven hundred and seventy seven thousand and seven hundred and sixty five; the 2nd term of the sum is equal to negative five; the denominator of the rational expression is four billion and nine hundred and ninety nine million and nine hundred and ninety nine thousand and nine hundred and ninety;
  2. x is equal to three times square root of seven billion and seven hundred and seventy seven million and seven hundred and seventy seven thousand and seven hundred and sixty five plus negative five over four billion and nine hundred and ninety nine million and nine hundred and ninety nine thousand and nine hundred and ninety.


Approximate

Solution 1 ( real )
x = -5.291603e-5

  1. an equation LHS is equal to x Right side of the equation is a sum containing 2 terms; the 1st term of the sum is equal to negative 5.291603e; the 2nd term of the sum is negative five;
  2. x is negative 5.291603e plus negative five;
Solution 2 ( real )
x = 5.291403e-5

  1. an equation Left side of the equation is x Right side of the equation is a sum of 2 terms; the 1st term of the sum is equal to 5.291403e; the 2nd term of the sum is equal to negative five;
  2. x is 5.291403e plus negative five;


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