Question

0=x^2+4x+10 Rewrite the function by completing the square.

Answer 1

Answer:

x = -2 ± i√6

Step-by-step explanation:

Simplify the equation into a proper form to complete the square.

-10 = x² + 4x

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b

$(\frac{b}{2})^2=2^{2}$

Add the term to each side of the equation.

-10 + 2² = x² + 4x + 2²

Simplify the equation.

-6 = x² + 4x + 4

Factor the perfect trinomial square into (x + 2)²

(x + 2)² = -6

Solve for x.

x = -2 ± i√6

good luck, hope this helps :)

Answer 2

Answer:

x = -2 ± i√6

Step-by-step explanation:

x² + 4x + 10 = 0

x² + 4x = -10

x² + 4x + 4 =  -10 + 4

(x + 2)² = -6

x + 2 = √-6

x + 2 = i√6

x = -2 ± i√6