If you have a quadratic equation and there is no x to put into the equation to get zero. The graph is like a U that is above the x axis or a cap that is below the x axis.
(k + 1)(k - 5)= 0
In some simple cases, factoring allows you to find solutions to a quadratic equations easily.Factoring works best when the solutions are integers or simple rational numbers. Factoring is useless if the solutions are irrational or complex numbers. With rational numbers which are relatively complicated (large numerators and denominators) factoring may not offer much of an advantage.
Equivalent equations
A system of equations with exactly one solution intersects at a singular point, and none of the equations in the system (if lines) are parallel.
No because there are no equations there to choose from.
Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.Yes and they do in factoring quadratic equations.
Yes FOIL method can be used with quadratic expressions and equations
there is no linear equations that has no solution every problem has a solution
(k + 1)(k - 5)= 0
In some simple cases, factoring allows you to find solutions to a quadratic equations easily.Factoring works best when the solutions are integers or simple rational numbers. Factoring is useless if the solutions are irrational or complex numbers. With rational numbers which are relatively complicated (large numerators and denominators) factoring may not offer much of an advantage.
Equivalent equations are equations that have the same solution set.
Equivalent equations
They are simultaneous equations
The solution of a system of linear equations is a pair of values that make both of the equations true.
Three different equations that have ( x = 5 ) as a solution are: ( 2x - 10 = 0 ) (Solving gives ( x = 5 )). ( x^2 - 25 = 0 ) (Factoring gives ( (x - 5)(x + 5) = 0 ), so ( x = 5 )). ( 3x + 15 = 30 ) (Simplifying gives ( 3x = 15 ), thus ( x = 5 )).
Yes, a system of equations can have more than one solution if the equations represent the same line or plane in a geometric sense. In such cases, there are infinitely many solutions that satisfy all equations simultaneously. This typically occurs in systems of linear equations where the equations are dependent. Conversely, if the equations are independent, the system will either have a unique solution or no solution at all.
The solution is the coordinates of the point where the graphs of the equations intersect.