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timama [110]
3 years ago
7

What are the roots of the equation 16x2 + 40x + 27 = 0 in simplest a + bi form?

Mathematics
1 answer:
bezimeni [28]3 years ago
7 0

9514 1404 393

Answer:

  -5/4 +i(√2)/4 and -5/4 -i(√2)/4

Step-by-step explanation:

I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...

  x^2 +5/2x +27/16 = 0

Completing the square by adding and subtracting the square of half the x-coefficient, we get ...

  (x^2 +5/2x +25/16) +27/16 -25/16 = 0

  (x +5/4)^2 = 2/16

Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...

  x +5/4 = ±√(-2/16)

  x = -5/4 ±i(√2)/4

The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.

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Step-by-step explanation: In addition, the parentheses help identify the individual addends. If adding a negative number, it is the same as subtracting. If there is a negative sign outside the parentheses, as in example c, you must distribute it: the signs of the numbers within the parentheses must be reversed when the parentheses are removed.

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3 years ago
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Shkiper50 [21]

Answer:

The sweaters cost $35 each.

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7 0
3 years ago
Nick bought 6 tickets to an air show if he spent 156 dollars how much did the tickets cost
marysya [2.9K]

Answer:

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3 0
2 years ago
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Find the sum of interior angles of a 10-sided figure. Explain what formula you used to get the answer.
Vilka [71]

Answer: 1440°

Step-by-step explanation:

To solve the above question, we'll use the formula (n-2) × 180. In this question, we are told that it has 10 sides. This implies that n= 10. Therefore, using the formula goes thus:

= (n - 2) × 180

where, n = 10

= (10 - 2) × 180

= 8 × 180

= 1440

8 0
2 years ago
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