Find the Quadratic Equation (0,-1)

$(0, - 1)$

Step 1

$x = 0$ and $x = - 1$ are the two real distinct solutions for the quadratic equation, which means that $x - 0$ and $x + 1$ are the factors of the quadratic equation.

$(x - 0) (x + 1) = 0$

Step 2

Subtract $0$ from $x$ .

$x (x + 1) = 0$

Step 3

Apply the distributive property.

$x \cdot x + x \cdot 1 = 0$

Step 4

Simplify the expression.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 1 = 0$

Multiply $x$ by $1$ .

$x^{2} + x = 0$

Step 5

The standard quadratic equation using the given set of solutions ${0, - 1}$ is $y = x^{2} + x$ .

$y = x^{2} + x$

Step 6

Find the Quadratic Equation (0,-1)

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