Find the Quadratic Equation 8 , -8 , 8i , -8i

$8$ , $- 8$ , $8 i$ , $- 8 i$

Step 1

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

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

Step 2

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Step 3

Simplify terms.

Combine the opposite terms in $x \cdot x + x \cdot 8 - 8 x - 8 \cdot 8$ .

Reorder the factors in the terms $x \cdot 8$ and $- 8 x$ .

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

Subtract $8 x$ from $8 x$ .

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

Add $x \cdot x$ and $0$ .

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

Simplify each term.

Multiply $x$ by $x$ .

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

Multiply $- 8$ by $8$ .

$x^{2} - 64 = 0$

Step 4

The standard quadratic equation using the given set of solutions ${8, - 8, 8 i, - 8 i}$ is $y = x^{2} - 64$ .

$y = x^{2} - 64$

Step 5

Find the Quadratic Equation 8 , -8 , 8i , -8i

Related Questions

Support LCMGCF.com by disabling your adblocker.