Algebra Examples

$0$ , $2$

Step 1

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

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

Step 2

Subtract $0$ from $x$ .

$x (x - 2) = 0$

Step 3

Apply the distributive property.

$x \cdot x + x \cdot - 2 = 0$

Step 4

Simplify the expression.

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Multiply $x$ by $x$ .

$x^{2} + x \cdot - 2 = 0$

Move $- 2$ to the left of $x$ .

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

Step 5

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

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

Step 6