Without an equality sign the given expression can't be considered to be an equation.
If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)
I would not say it is "needed," but basically the more points you have the better you can understand the graph. And three because its the recommmended minimum to get a gist of the graph, yet it will not take a lot of effort to plug in three numbers.
If you mean to say (x^2)-2x+4=0 then there is no solution for x because the equation never makes it to 0 If you mean to say 2x-2x+4=0 then there is no solution for x because it is a horizontal line at Y=4
undefined means you can not do the operation (5/0 is undefined) no solution refers to an equation not having an answer. a solution is a number which you can plug into the variable of an equation and get a true statement. So having no solution means there is no number which you can plug in and get a true statement. As a fraction is not an equation, but an expression it is not right to say that 5/0 has no solution. There is no variable in 5/0, nothing to plug into to get a true or false statement.
10
If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)
Let's say you have the quadratic equation x2 - 7x + 12 = 0. Plot the graph of y = x2 - 7x + 12. Where y = 0 (when the graph crosses the x-axis) is a solution to the equation. In this case, it crosses at the points (3,0) & (4,0) so the solutions are x = 3 and x = 4. Now if the graph never touches the x-axis, that means the solutions to the equation are complex numbers.
The graph of an equation has a slope and intercept.[ 13x - 11y - 12 ] is not an equation, and has no graph,until you say that it's equal to something.
Nothing yet. It only means that the equations you have are not independent ...one of them is a simple multiple of another one. All you can say so far is thatyou need another equation.
Generally, when we say a quadratic equation has no solutions, it means that the graph does not cross the x-axis at all.In other words, it means that there are no values for x when y equals 0 (because the line y=0 IS the x-axis.)Hope that helps.Jamz159
An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.
I would not say it is "needed," but basically the more points you have the better you can understand the graph. And three because its the recommmended minimum to get a gist of the graph, yet it will not take a lot of effort to plug in three numbers.
If you mean to say (x^2)-2x+4=0 then there is no solution for x because the equation never makes it to 0 If you mean to say 2x-2x+4=0 then there is no solution for x because it is a horizontal line at Y=4
undefined means you can not do the operation (5/0 is undefined) no solution refers to an equation not having an answer. a solution is a number which you can plug into the variable of an equation and get a true statement. So having no solution means there is no number which you can plug in and get a true statement. As a fraction is not an equation, but an expression it is not right to say that 5/0 has no solution. There is no variable in 5/0, nothing to plug into to get a true or false statement.
10
You can't just simply "get" a complex graph. I think what you are trying to say is how can you find a complex graph. Well, you go to Google and type in "complex graph". If you want to be more specific, then type in the specific thing you are researching. THERE! That is the solution!
1. It can have a unique solution. On a graph this would be single point of intersection. 2. It can no no solutions such as two parallel lines on a graph. 3. It can have an infinite number of solutions such as two equations that represent the same line on a graph. You can make up examples to see this very easily. For number 3, take any linear equation such as y=x+1 Now multiply both sides of the equation by 10 10y=10x+10. The solution to the system of those two equations is all real numbers, an infinite solution. Now for number 2, take any line and just find a parallel line. Easy to do by simply making sure it has the same sloe but a different y intercept. For the last one, take two lines that intersect. This will most often be the case if you randomly pick two linear equation. Say y =x+1 and y=3x+13. Different slope and different y intercept.