Find the Quadratic Equation (5,0)

$(5, 0)$

Step 1

$x = 5$ and $x = 0$ are the two real distinct solutions for the quadratic equation, which means that $x - 5$ and $x - 0$ are the factors of the quadratic equation.

$(x - 5) (x - 0) = 0$

Step 2

Subtract $0$ from $x$ .

$(x - 5) x = 0$

Step 3

Apply the distributive property.

$x \cdot x - 5 x = 0$

Step 4

Multiply $x$ by $x$ .

$x^{2} - 5 x = 0$

Step 5

The standard quadratic equation using the given set of solutions ${5, 0}$ is $y = x^{2} - 5 x$ .

$y = x^{2} - 5 x$

Step 6

Find the Quadratic Equation (5,0)

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