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Yakvenalex [24]
3 years ago
15

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

Mathematics
2 answers:
Hitman42 [59]3 years ago
8 0

Answer:

x = -2 ±sqrt( 10)

Step-by-step 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)

MakcuM [25]3 years ago
7 0

Answer:

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

Step-by-step explanation:

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

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

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