Algebra Examples

$(2, 0)$

Step 1

$x = 2$ and $x = 0$ are the two real distinct solutions for the quadratic equation, which means that $x - 2$ and $x - 0$ are the factors of the quadratic equation.

$(x - 2) (x - 0) = 0$

Step 2

Subtract $0$ from $x$ .

$(x - 2) x = 0$

Step 3

Apply the distributive property.

$x \cdot x - 2 x = 0$

Step 4

Multiply $x$ by $x$ .

$x^{2} - 2 x = 0$

Step 5

The standard quadratic equation using the given set of solutions ${2, 0}$ is $y = x^{2} - 2 x$ .

$y = x^{2} - 2 x$

Step 6