Mathematics: Solve x2 + 12x + 6 = 0 using the completing-the-square method. a) x = negative six plus or minus the square root of thirty b) x = six plus or minus the square root of thirty c) x = negative six plus or minus the square root of six d) x = six plus or minus the square root of six

Solve x2 + 12x + 6 = 0 using the completing-the-square

sam10146

10.03.2022

The correct answer is A

$x=-6\pm \sqrt{30}$

Step-by-step explanation:

The given expression is

x^2+12x+6=0

Add to both sides

x^2+12x=-6

Add $(\frac{12}{2} )^2=(6)^2$ to both sides.

x^2+12x+(6)^2=-6+(6)^2

We got a perfect square on the left hand side

(x+6)^2=-6+36

Simplify the left hand side to get,

(x+6)^2=30

Take square root of both sides

$(x+6)=\pm \sqrt{30}$

Solve for .

$x=-6\pm \sqrt{30}$

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sonyav732

10.04.2023

0 because anything below sea level will be in the negatives and anything above will be and positive number higher than 0 :D

Hope this helped

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