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Citrus2011 [14]
3 years ago
14

Which of the following polynomials has solutions that are not real numbers?

Mathematics
2 answers:
soldi70 [24.7K]3 years ago
8 0

Answer:

Option 4 is correct.

Step-by-step explanation:

To find: Polynomial whose solution are not real numbers.

Given Polynomials are Quadratic Polynomial.

So, we can check if solution of quadratic polynomial by find & checking value of discriminant.

Standard form of Quadratic polynomial is given by

ax² + bx + c

then Discriminant, D = b² - 4ac

If, D > 0 ⇒ Solutions are distinct real numbers

if, D = 0 ⇒ Solutions are equal real numbers

if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)

Option A:

By comparing with standard form

a = 1 , b = -6 , c = 3

D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0

Thus, Solutions are Real numbers.

Option B:

By comparing with standard form

a = 1 , b = 4 , c = 3

D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0

Thus, Solutions are Real numbers.

Option C:

By comparing with standard form

a = -1 , b = -9 , c =-10

D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0

Thus, Solutions are Real numbers.

Option D:

By comparing with standard form

a = 1 , b = 2 , c = 3

D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0

Thus, Solutions are not Real numbers.

Therefore, Option 4 is correct.

Nataly [62]3 years ago
6 0
I maybe totally wrong but i want to say either A or C. A nonreal number is any number that when multiplied by itseld produces a negative number.
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Dmitry [639]

Answer:

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Step-by-step explanation:

1. Complete the square on the right side of the equation.

5 ( x − 1 )2 − 18

2. Use the vertex form,  y = a ( x − h ) 2 + k , to determine the values of  a ,  h , and  k . a= 5 h = 1 k = − 18

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1 /20

6. Find the focus.

7. ( 1 , − 359/ 20 )

8. Find the axis of symmetry by finding the line that passes through the vertex and the focus.

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6 0
2 years ago
The quotient of 50 and 5 subtracted from 20 (move numbers and symbols to the line to show the phrase as a numerical expression)
Bas_tet [7]

Answer:

The expression is 20 - 50/5

Step-by-step explanation:

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This is written as:

50/5

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Now we subtract this FROM 20, then we have the number 20, and we subtract 50/5 from it, this is written as:

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noname [10]
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Work:

Equation;

\frac{5}{8} + \frac{11}{16} + \frac{27}{32}

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r3t40
6 0
2 years ago
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Write an equation that passes through the points (0,-5) and (8,-5)
bezimeni [28]

Answer:

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Step-by-step explanation:

Let (x_0,\, y_0) and (x_1,\, y_1) denote the coordinates of these two points, respectively.

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Rewrite and simplify to obtain the equation of this line in slope-intercept form:

y = -5.

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