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bearhunter [10]
3 years ago
11

What are the key features of a graph of a quadratic equation with only complex solutions

Mathematics
1 answer:
dybincka [34]3 years ago
4 0

Answer:

If  D< 0, the roots of the quadratic equation will b complex.

Step-by-step explanation:

Let ax^{2}  + bx + c =0 is the given quadratic equation.

So, if the Discriminant (D) = b^{2}  - 4ac  < 0, the the equation will have only complex solutions.

Complex roots are represented in the form of (x \pm iy)

1.  <u> x represents the X axis (real) co ordinate,</u>

    <u>y represents the Y axis (imaginary) coordinate</u>

<u />

<u />

2. Also, the graph of the with equation  D < 0  NEVER CROSSES the X - axis, as there are no real roots of the equation, only complex roots.

3. Here. roots are always identical but are opposite in signs. Such pair or roots with opposite sign are called CONJUGATE PAIRS.

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Answer:

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Step-by-step explanation:

The computation of the coordinates of the point is shown below:

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Answer:

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Step-by-step explanation:

Given

Sequence: 8.2, 10, 11.8, 13.6

Required

The formula of the sequence.

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It is an arithmetic sequence because each successive sequence is separated by a common difference..

The common difference is represented by d and it's calculated as follows.

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By substituting 8.2 for T1 and 1.8 for d.

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Open bracket

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Hence, the formula of the sequence is Tn = 6.4 + 1.8n

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