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

Question

Madeline Woods

Mathematics

25 September, 23:58

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

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June · Answer 1

X^2+12x+6=0 subtract 6 from both sides ...

x^2+12x=-6 halve linear coefficient, square it, and add it to both sides ...

x^2+12x+36=30 now the left side is a perfect square ...

(x+6) ^2=30 take square root of both sides ...

x+6=30^ (1/2) subtract 6 from both sides ...

x=-6-30^ (1/2) and - 6+30^ (1/2)