A person might have ignored the calorimeter in their calculation, even though it was listed in the original equation, by mistake. Maybe they were preoccupied or they just forgot.
To solve an equation it is sometimes helpful to do what to the original operation?
an extraneous solution.
It often helps to isolate the radical, and then square both sides. Beware of extraneous solutions - the new equation may have solutions that are not part of the solutions of the original equation, so you definitely need to check any purported solutions with the original equation.
x = -8 already is a solution. If an equation has been changed until the value of x is found, and this value is accurate to the original equation, then the equation has been solved.
When you are solving an equation usually you are solving for x. If you want to check your answer just plug the values you got back in to the original function. Or you can use a different method to solve the equation and see if you get the same answer.
It is important to check your answers to make sure that it doesn't give a zero denominator in the original equation. When we multiply both sides of an equation by the LCM the result might have solutions that are not solutions of the original equation. We have to check possible solutions in the original equation to make sure that the denominator does not equal zero. There is also the possibility that calculation errors were made in solving.
Extraneous solution
To solve an equation it is sometimes helpful to do what to the original operation?
That's an extraneous solution. You need to check for these when algebraically solving equations, especially when you take both sides of an equation to a power.
Perpendicular distance is used while calculating movement in order to verify the calculation. The perpendicular calculation must match the original calculation.
The unknown amount + 8% of this unknown amount = 1191.96. Convert this to the following equation, and solve it: x + 0.08x = 1191.96. This will give you the original amount; it is then easy to calculate 8% of this original amount.
plug your solution back into the original equation and work it out again
x = 00 reduces to x = 0/0. Both are undefined, and thus cannot be considered "equal". Other than that, nothing.
Integration results in an equation which gives the area under the original equation between the bounds. Derivation results in an equation which gives the slope of the original line at any point.
Find values for the variable that satisfy the equation, that is if you replace those values for the variable into the original equation, the equation becomes a true statement.
When performing a logarithmic calculation involving significant figures, the number of significant figures in the result is determined by the number of decimal places in the original values being used in the calculation. The result should be rounded to match the original value with the fewest decimal places.
% change = |original value - new value|/original value * 100%