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3 years ago

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Mathematics

1 answer:

aleksandrvk [35]3 years ago

6 0

Answer:

x = -2+√3i and -2-√3i

Step-by-step explanation:

The formula for the general formula is expressed as;

x = -b±√b²-4ac/2a

Given the expression

x²+4x+7 = 0

a = 1, b = 4 and c = 7

Substitute

x = -4±√4²-4(1)(7)/2(1)

x = -4±√16-28/2

x = -4±√-12/2

x = -4±√4*-3/2

x = -4±2√-3/2

x = -4±2√3i/2

x = -4+2√3i/2 and -4-2√3/2

x = -2+√3i and -2-√3i

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Answer:

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Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

Find either the maximum or the minimum value of the following quadratic equation. Be sure to show all of your work and identify

podryga [215]

Answer:

the minimum is (1,-9)

Step-by-step explanation:

y = 5x^2 - 10x - 4

since the parabola opens upward 5>0, this will have a minimum

it will occur along the axis of symmetry h=-b/2a

y =ax^2 +bx+c

h = -(-10)/2*5

h = 10/10 =1

the minimum occurs at x =1

the y value for the minimum is calculated by substituting x =1 back into the equation

y = 5 * 1^2 - 10*1 -4

y = 5*1^2 -10 -4

y = 5-10-4

y = -9

the minimum is (1,-9)

6 0

3 years ago

Hola, estoy empezando a ver trigonometria queria ver si me pueden ayudar con este problema: Un extraterrestre diminuto pero horr

Kryger [21]

Answer:

El agente debe disparar a un ángulo aproximado de 87.7° con respecto a la horizontal.

Step-by-step explanation:

Sea E la localización del extraterrestre, O, el del hombre de negro, y B, el de la base del edificio. A partir de la información disponible, construimos el diagrama geométrico que indica la presencia de un triángulo rectángulo, el cual puede consultarse en la imagen adjunta.

Podemos determinar el ángulo de disparo mediante la siguiente relación trigonométrica inversa:

$A = \tan^{-1} \frac{443\,m}{18\,m}$