Find the Quadratic Equation 8 , -4

$8$ , $- 4$

$x = 8$ and $x = - 4$ are the two real distinct solutions for the quadratic equation, which means that $x - 8$ and $x + 4$ are the factors of the quadratic equation.

$(x - 8) (x + 4) = 0$

Expand $(x - 8) (x + 4)$ using the FOIL Method.

Apply the distributive property.

$x (x + 4) - 8 (x + 4) = 0$

Apply the distributive property.

$x \cdot x + x \cdot 4 - 8 (x + 4) = 0$

Apply the distributive property.

$x \cdot x + x \cdot 4 - 8 x - 8 \cdot 4 = 0$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 4 - 8 x - 8 \cdot 4 = 0$

Move $4$ to the left of $x$ .

$x^{2} + 4 \cdot x - 8 x - 8 \cdot 4 = 0$

Multiply $- 8$ by $4$ .

$x^{2} + 4 x - 8 x - 32 = 0$

Subtract $8 x$ from $4 x$ .

$x^{2} - 4 x - 32 = 0$

The standard quadratic equation using the given set of solutions ${8, - 4}$ is $y = x^{2} - 4 x - 32$ .

$y = x^{2} - 4 x - 32$

Find the Quadratic Equation 8 , -4

Related Questions

Support LCMGCF.com by disabling your adblocker.