I am supposed to write a quadratic equation using only the solutions and I am only given one solution:4.
It can't be (x-4)=0. Can I use 0 to make (x-4)(x+0)=0?
I would make 4 a double root, so then
(x-4)(x-4)=0
x^2 - 8x + 16 = 0
it is long and yellow
Yes, you can absolutely use the solution 4 to write a quadratic equation. However, in your proposed equation (x-4)(x+0)=0, you are not actually representing a quadratic equation.
In order to express a quadratic equation, you need to have two solutions. Given that you have only one solution, which is 4, it means that the equation has a repeated root.
To create the quadratic equation with the given solution, you can follow the steps below:
1. Start with the equation that represents a quadratic equation: (x - a)(x - b) = 0
(a and b represent the two solutions)
2. Since you only have one solution (which is 4), you can use it for both a and b. So, the equation becomes: (x - 4)(x - 4) = 0
3. Simplify the equation: (x - 4)^2 = 0
This equation represents a quadratic equation with the repeated root of 4.
By following these steps, you have successfully written a quadratic equation using only the given solution, 4.