Find the Quadratic Equation (7,0)

${\displaystyle x=7}$ and ${\displaystyle x=0}$ are the two real distinct solutions for the quadratic equation, which means that ${\displaystyle x-7}$ and ${\displaystyle x-0}$ are the factors of the quadratic equation.

Subtract ${\displaystyle 0}$ from ${\displaystyle x}$.

Apply the distributive property.

Multiply ${\displaystyle x}$ by ${\displaystyle x}$.

The standard quadratic equation using the given set of solutions ${\displaystyle \{7,0\}}$ is ${\displaystyle y=x^2-7x}$.