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Which equation has the same solution as x2 + 12x – 6 = 5?

A (z - 6)2 = -25
B (x – 6)2 = 47
C (x + 6)2 = 47
D (x + 6)2 = –25

2 Answers

2 votes

Answer:

Step-by-step explanation:

We'll assume " x2 + 12x – 6 = 5" is supposed to be

x^2 + 12x – 6 = 5

x^2 + 12x – 6 = 5

Subtract 5 from both sides:

x^2 + 12x – 11 = 0

Factor:

(x - 11)*(x + 1) = 0

None of the answer options appears correct, for the equation provided. A) z does not appear in the original problem.

Is (x-62) supposed to be (x-6)^2 none of the expressions are raised to the second power, as written

User SoSimple
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8.7k points
4 votes

Final answer:

The equation that has the same solution as x² + 12x – 6 = 5 is D (x + 6)² = –25.

Step-by-step explanation:

The equation that has the same solution as x² + 12x – 6 = 5 is D (x + 6)² = –25.

To find the equation with the same solution, we need to rearrange the equation x² + 12x – 6 = 5 into vertex form, which is (x - h)² = k.

When the equation is rearranged, we get (x + 6)² = –25, which has the same solution as the original equation.

User ClancyStats
by
8.5k points

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