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kirill [66]
2 years ago
7

WHAT IS A 2ND DEGREE POLYNOMIAL FUNCTION WHOSE GRAPH HAS ONLY POSITIVE Y-VALUES

Mathematics
1 answer:
elena55 [62]2 years ago
6 0

An example of quadratic equation with this behavior is:

y = x^2 + x + 20

Which is sketched at the end of this answer.

A quadratic equation has the format:

y = ax^2 + bx + c

It's roots are given by:

\frac{-b \pm \sqrt{\Delta}}{2}

The number of roots depends on the discriminant \Delta = b^2 - 4ac, that is:

  • If \Delta > 0, it has two different real roots.
  • If \Delta = 0, it has one real root.
  • If \Delta < 0, it has no real roots.

In this problem, it will have only positive y-values if: \Delta < 0 and c > 0

Thus, an example is:

y = x^2 + x + 20

Which is sketched below.

A similar problem is given at brainly.com/question/19776811

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no you would solve for x...
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3 years ago
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3 years ago
The roots of a quadratic equation ax2+bx+c=0 are 1+i 5 and 1−i 5 . Find possible values of a, b and c.
Anarel [89]

Answer:

Step-by-step explanation:

If the roots are 1 + 5i and 1 - 5i, then you need the factors that result from those roots.  They are (x - 1 + 5i) and (x - 1 - 5i).  Now what you do with those is FOIL them out.  Doing that gives you the following:

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The good thing is that several of those terms cancel each other out.  +5ix cancels out the -5ix; -5i cancels out the 5i; and the 2 -x terms combine to -2x.  That leaves you with:

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6 0
3 years ago
Read 2 more answers
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