Select all correct answers.
One solution to a quadratic equation is * = -
Which sentences could describe any remaining solutions?
There are two or more complex solutions.
There are no complex solutions.
There is exactly one more real solution.
There is exactly one complex solution.
There are at least two more real solutions.
There are no other real solutions because of repeated roots.
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Answers

Answer 1

The correct sentences that could describe any remaining solutions to a quadratic equation are -

There are two or more complex solutions.

There is exactly one complex solution.

How is this so?

In mathematics, quadratic equations can have different types and numbers of solutions depending on their coefficients.

When one solution of a quadratic equation is given, it implies that there are either two complex solutions (involving the imaginary unit) or one complex solution (involving complex numbers) remaining.

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Related Questions

Un equipo de básquet anotó un total de 55 canastas, obteniendo 125 puntos. ¿Cuántos tiros de campo (2 puntos) y triples (3 puntos) realizaron?

Answers

Answer:

Para resolver este problema, podemos plantear un sistema de ecuaciones.

Sea x la cantidad de tiros de campo (2 puntos) realizados y y la cantidad de triples (3 puntos) realizados.

Tenemos la siguiente información:

x + y = 55 (la suma de los tiros de campo y triples es igual al total de canastas)

2x + 3y = 125 (la suma de los puntos obtenidos por los tiros de campo y triples es igual al total de puntos)

Podemos resolver este sistema de ecuaciones de varias formas. Una forma sencilla es multiplicar la primera ecuación por 2 y restarla de la segunda ecuación:

2x + 2y = 110

2x + 3y = 125

y = 15

Sustituyendo el valor de y en la primera ecuación:

x + 15 = 55

x = 40

Por lo tanto, se realizaron 40 tiros de campo (2 puntos) y 15 triples (3 puntos).

6. A car travels 3 hours at 50 mph. Then it slows down to 40 mph for the next 7 hours. How many miles does it travel during the 10 hours?

50/3 + 40/7
50/3 - 40/7
(3 x 50) + (7 x 40)
(7 x 40) - (3 x 50)

Answers

total sidtance traveled in 10 hours is 430 miles

The correct option is the third one, the distance is:

d = (3 x 50) + (7 x 40) = 430 miles.

That is the distance that the car travels in the 10 hours.

How many miles does it travel during the 10 hours?

We need to use the formula for distance:

distance = speed*time

Then the distance traveled in these 10 hours is:

distance = 3*50 + 7*40

distance = 430mi

Where the first value is the number of hours and the second is the speed which is used in that time interval.

With that in mind, we can see that the correct option is the third one.

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