Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
The solution
Although there is a method for cubics, there are no simple analytical ways.Sometimes you may be able to use the remainder theorem to find one solutions. THen you can divide the original equation using that solution so that you are now searching for an equation of a lower order. If you started off with a cubic you will now have a quadratic and, if all else fails, you can use the quadratic formula.You could use a graphic method. A cubic musthave a solution although that solution need not be rational. A quartic need no have any.Lastly, you could use a numeric method, such as the Newton-Raphson iteration.
Whether or not that there is a solution to a quadratic equation,
Select any three values of x in the domain of the equation. Solve the equation at these three points for the other variable, y. Then each (x, y) will be an ordered pair that is a solution of the equation.
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
The solution
Although there is a method for cubics, there are no simple analytical ways.Sometimes you may be able to use the remainder theorem to find one solutions. THen you can divide the original equation using that solution so that you are now searching for an equation of a lower order. If you started off with a cubic you will now have a quadratic and, if all else fails, you can use the quadratic formula.You could use a graphic method. A cubic musthave a solution although that solution need not be rational. A quartic need no have any.Lastly, you could use a numeric method, such as the Newton-Raphson iteration.
Whether or not that there is a solution to a quadratic equation,
Select any three values of x in the domain of the equation. Solve the equation at these three points for the other variable, y. Then each (x, y) will be an ordered pair that is a solution of the equation.
Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.
just to find the answer. like if it has an x in it then figure out what the x is
Substitution
substitution
substitution
A situation equation follows the order of the story problem.For instance:Johnny has 8 apples, he eats some, and has 3 left.The situation equation would be: 8 - a = 3A solution equation is the equation that would help you find the solution. Your brain doesn't automatically know what "a" is, it has to rearrange the order of the equation and then solve.The solution equation would be: 8 - 3 = a, then you would solve it.
Yes. A cubic equation can have 3 real roots. Depending on their size, each of three intervals could contain a root. In that case different intervals must give different roots.Yes. A cubic equation can have 3 real roots. Depending on their size, each of three intervals could contain a root. In that case different intervals must give different roots.Yes. A cubic equation can have 3 real roots. Depending on their size, each of three intervals could contain a root. In that case different intervals must give different roots.Yes. A cubic equation can have 3 real roots. Depending on their size, each of three intervals could contain a root. In that case different intervals must give different roots.