Question

X^2 + 4x = 6
solve by completing the square plz show step by step

Answer 1

x= +/- \sqrt(10) - 2

Explanation:

use the formula (b/2) in order to create a new term.

Solve for x by using the term to complete the square.

Answer 2

x = -2 ±sqrt( 10)

Explanation:

x^2 + 4x = 6

Take the coefficient of x

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2 + 4x+4 = 6+4

Take the 4/2 term which is the factor inside the (x+ )^2

(x+2)^2 = 10

Take the square root of each side

sqrt((x+2)^2) =±sqrt( 10)

x+2 = ±sqrt( 10)

Subtract 2 from each side

x+2-2 = -2±sqrt( 10)

x = -2 ±sqrt( 10)