What are the solutions to 3x²+12x+6=0

Correct Answer is : x=−2±2x=-2±{2}x=−2±2

Correct Answer is : x=−2±2x=-2±{2}x=−2±2

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SAT Mathematics Practice Test 3

Question : 14 of 58

Marks: +1, -0

3x^2+12x+6=0

Solution:

Dividing each side of the given equation by 3 gives the equivalent equation

x^2+4x+2=0

. Then using the quadratic formula,

\frac{-b\sqrt{b^2-4ac}}{2a}

with

a=1,b=4,

and

c=2

, gives the solutions

x=-2\pm\sqrt{2}

Choices B, C, and D are incorrect and may be the result of errors when applying the quadratic formula.

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