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lana [24]
2 years ago
7

Solve for x in the equation x2 + 14x+17--96

Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
8 0

Answer:

Option B.

Step-by-step explanation:

If a quadratic equation is defined as ax^2+bx+c=0, the by quadratic formula

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Consider the given equation is

x^2+14x+17=-96

We need to find the value of x.

Add 96 on both sides.

x^2+14x+17+96=-96+96

x^2+14x+113=0

Here, a=1, b=14 and c=113. Using quadratic formula we get

x=\dfrac{-14\pm \sqrt{14^2-4(1)(113)}}{2(1)}

x=\dfrac{-14\pm \sqrt{-256}}{2(1)}

x=\dfrac{-14\pm \sqrt{256}\sqrt{-1}}{2}           (\sqrt{-1}=i)

x=\dfrac{-14\pm 16i}{2}

x=-7\pm 8i

The value of x are x=-7 + 8i and x=-7 - 8i.

Therefore, the correct option is B.

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