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Mathematics
Andre May
19 February, 14:38
X² - 4x - 12=0
solve by completing the square
+2
Answers (
1
)
Isaiah Bush
19 February, 17:46
0
x = - 2 0r x = 6
Step-by-step explanation:
from the question
X² - 4x - 12=0
solve by completing the square method
we have;
X² - 4x - 12=0
X² - 4x = 12
to make the left hand side a perfect square we add 4 to both sides.
X² - 4x + 4 = 12 + 4
X² - 4x + 4 = 16
from left hand side X² - 4x + 4
= (x - 2) * (x - 2)
it can be simply expressed as
(x-2) ²
so since X² - 4x + 4 has been simplified to be (x-2) ²
then,
(x-2) ² = 16
x - 2 = √ 16
since square root has two values it can either be positive or negative
so we have
x = 2 + √16
or
x = 2 - √16
therefore
x = 2 + √16
x = 2 + 4
x = 6
0r
x = 2 - 4
x = - 2
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