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IRISSAK [1]
3 years ago
10

Which of these represents a quadratic polynomial with exactly two zeros given by - 21 and 2i?

Mathematics
2 answers:
weqwewe [10]3 years ago
8 0

Answer:

B. x² + 4

Step-by-step explanation:

(0+/-√-16)2

+/- 4i / 2

+/- 2i

spin [16.1K]3 years ago
8 0

Answer:

B

Step-by-step explanation:

(x + 2i)(x - 2i)

= x² - 2ix + 2ix - (2i)²

= x² - 4i²

= x² -4(-1)

= x² + 4

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Answer:

2.0625

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

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Is the distance between -7 and -13 on a number line 6?
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yes

Step-by-step explanation:

13-7=6 so that's the difference

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Can someone help me?
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Answer:

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Step-by-step explanation:

Hope this helps!

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3 years ago
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5. Find the discriminant of 15x2 = 4x – 1 and describe
diamong [38]

Answer:

a) The discriminant of the equation =  - 44

b)The nature of the roots will be imaginary.

c) x = \frac{2 +\sqrt{11} i}{15}  or, x = \frac{2 - \sqrt{11} i}{15}

Step-by-step explanation:

Here, the given expression is 15x^{2}  = 4x -1

or, 15x^{2}  -  4x + 1   = 0

Now the discriminant (D) of a quadratic equation ax^{2}  +b x + c   = 0

D = b^{2}   -  4ac  = (-4)^{2}  -  4(15) (1)  = 16 - (60) = -44

Hence, the discriminant of the equation =  - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : x = \frac{-b \pm \sqrt{b^{2}  - 4ac} }{2a}

So, here x = \frac{-(-4) \pm \sqrt{D} }{2a}  = \frac{4 \pm \sqrt{(-44 )} }{30}

So, either x = \frac{4 + \sqrt{(-44 )} }{30} or, x =  \frac{4 - \sqrt{(-44 )} }{30}

or, x = \frac{2 +\sqrt{11} i}{15}  or, x = \frac{2 - \sqrt{11} i}{15}

8 0
3 years ago
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