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irakobra [83]
2 years ago
6

PLEASE HELP! Solve each of the following by using the general quadratic formula.

Mathematics
1 answer:
Archy [21]2 years ago
6 0

Using the quadratic formula, the solutions are:

a) x = \frac{3 \pm \sqrt{41}}{4}

b) x = 1 \pm 2i

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

x_1 = \frac{-b + \sqrt{\Delta}}{2a}

x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

Item a:

The coefficients are a = 2, b = -3, c = -4, hence:

  • \Delta = (-3)^2 - 4(2)(-4) = 41
  • x_1 = \frac{3 + \sqrt{41}}{4}
  • x_2 = \frac{3 - \sqrt{41}}{4}

Item b:

The coefficients are a = 1, b = 2, c = 2, hence:

  • \Delta = (2)^2 - 4(1)(2) = -4
  • x_1 = \frac{2 + \sqrt{-4}}{2} = 1 + 2i
  • x_2 = \frac{2 - \sqrt{-4}}{2} = 1 - 2i

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

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A town's population increases in one year from 100,000 to 110,000. If the population is growing exponentially at a steady rate,
Gnom [1K]
120,000 people.
110,000 - 100,000 = 10,000
110,000 + 10,000 = 120,000 peoples.
4 0
4 years ago
8r+12p-3p<br> I cant figure thia on out
BabaBlast [244]

Answer:

8r + 9p

Step-by-step explanation:

Combine like terms. Like terms are terms with the same variables as well as the same amount of said variable.

In this case, combine 12p with -3p

8r + 12p - 3p

8r + (12p - 3p)

8r + 9p

8r + 9p is your answer.

~

3 0
3 years ago
Read 2 more answers
How do i solve x+y=2?
Aliun [14]
It’s unsolvable with out more context. What’s the rest of the problem.
8 0
3 years ago
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Divide $1800 in the ratio 7:5​
Oksana_A [137]

Answer:

7+5 =12

1800/12=150

So 7x150 =1050

And 5x150= 750 so

1050:750

4 0
3 years ago
Un terreno cuadrado tiene una superficie de 900 metros cuadrados. ¿Cuántos metros lineales de alambre se necesitan para cercarlo
sveta [45]

Respuesta:

120 metros

Explicación paso a paso:

Dado que:

Área del lote cuadrado = 900 m²

Área, A de cuadrado = s²

Donde, s = longitud del lado

s² = 900

Toma el cuadrado de ambos lados

s = raíz cuadrada (900)

s = 30

Se requiere metro lineal de alambre para cercar, el lote será el perímetro del lote cuadrado;

El perímetro del lote cuadrado = 4s

Por eso,

Perímetro del lote cuadrado = 4 * 30

Perímetro del lote cuadrado = 120 m

3 0
3 years ago
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