If you know two function points, two points make a line, and you can use the linear function to estimate function values {extrapolation}| for independent-variable values greater than the larger, or less than the smaller, of the point independent-variable values.
If you know two function points, two points make a line, and you can use the linear function to estimate function values {interpolation}| for independent-variable values between the point independent-variable values.
All terms with unknown variable can be on left or right equation side {isolate variable}.
process
Remove exponents outside parentheses by multiplying.
Remove all fractions and divisions by multiplying out all denominators. Factor denominator and cancel factors, divide into numerator to get quotient, or multiply both equation sides by denominator.
Remove parentheses by performing all multiplications, to make sum of terms.
Make irrational numbers or variables rational by taking both equation sides to power.
Multiply repeated variables in terms to make one variable.
Add similar terms.
Add all constants.
Put all terms containing unknown variable on one equation side.
roots
Assume left-side expression has unknown variable. Find left-side-expression roots by polynomial factoring or other method. Find right-side-expression roots. For whole equation, root is left-side-expression root minus right-side-expression root.
If h is small compared to x, change (x + h)^n to x + n*h to remove exponent and make linear {linearize}.
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Date Modified: 2022.0225