Ask question

Ask question

All categories

3 years ago

9

X^2+6x=-22 witch of the following is a solution

1 answer:

zysi [14]3 years ago

4 0

Answer:

x1=-3+i*sqrt(13)

x2=-3-i*sqrt(13)

Step-by-step explanation:

x^2 +6x=-22

x^2 +6x+22=0 (Quadratic equation)

a=1, b=6, c=22

x1=(-b+sqrt(b^2-4ac)) /2a

x1=(-6+sqrt(6^2 -4*1*22))/2*1

x1=(-6+sqrt(36-88))/2

x1=(-6+sqrt(-52))/2

x1=(-6+sqrt(52i^2))/2...... i^2=-1

x1=(-6+sqrt (4*13i^2))/2

x1=(-6+2i*sqrt(13))/2

x1=-3+i*sqrt(13)

x2=(-b-sqrt(b^2-4ac)) /2a

x2=-3-i*sqrt(13)

You might be interested in

For the function y=3x2: (a) Find the average rate of change of y with respect to x over the interval [3,6]. (b) Find the instant

nirvana33 [79]

Answer:

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

Step-by-step explanation:

a) Geometrically speaking, the average rate of change of $y$ with respect to $x$ over the interval by definition of secant line:

$r = \frac{y(b) -y(a)}{b-a}$ (1)

Where:

$a$ , $b$ - Lower and upper bounds of the interval.

$y(a)$ , $y(b)$ - Function exaluated at lower and upper bounds of the interval.

If we know that $y = 3\cdot x^{2}$ , $a = 3$ and $b = 6$ , then the average rate of change of $y$ with respect to $x$ over the interval is:

$r = \frac{3\cdot (6)^{2}-3\cdot (3)^{2}}{6-3}$

$r = 27$

The average rate of change of $y$ with respect to $x$ over the interval $[3,6]$ is 27.

b) The instantaneous rate of change can be determined by the following definition:

$y' = \lim_{h \to 0}\frac{y(x+h)-y(x)}{h}$ (2)

Where:

$h$ - Change rate.

$y(x)$ , $y(x+h)$ - Function evaluated at $x$ and $x+h$ .

If we know that $x = 3$ and $y = 3\cdot x^{2}$ , then the instantaneous rate of change of $y$ with respect to $x$ is:

$y' = \lim_{h \to 0} \frac{3\cdot (x+h)^{2}-3\cdot x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{(x+h)^{2}-x^{2}}{h}$

$y' = 3\cdot \lim_{h \to 0} \frac{2\cdot h\cdot x +h^{2}}{h}$

$y' = 6\cdot \lim_{h \to 0} x +3\cdot \lim_{h \to 0} h$

$y' = 6\cdot x$

$y' = 6\cdot (3)$

$y' = 18$

The instantaneous rate of change of $y$ with respect to $x$ at the value $x = 3$ is 18.

5 0

3 years ago

Solve for x rounding to the nearest hundredth will give to brainlest!!!

Verizon [17]

Answer:

Exact Form:

x

=

64/21e

Decimal Form:

x

=

1.12115639

Step-by-step explanation:

8 0

3 years ago

A baker uses 1.5 tsp of vanilla extract in each cake. how much vanilla extract in liters should the baker order to make 800 cake

aleksandrvk [35]

1.5 tsp x 800 cakes = 1200 tsp.

1 tsp = 5 ml

1200 x 5 = 6000 ml

1 ml = 0.001 liter

6000 x 0.001 = 6 liters

8 0

3 years ago

How do you do 01.06 Division with Mixed Numbers?

Sliva [168]

Answer:

1 3/50

Step-by-step explanation:

the .06 is in the hundreths place so it would be 6/100 or 3/50

now add the whole number to it to get 1 3/50

4 0

3 years ago

Solve each equation for xx. For each step, describe the operation used to convert the equation. How do you know that the initial

ladessa [460]

Answer:

a. x=1.8?

Step-by-step explanation:

im not really sure but i need help also. Im sorry but i just thought to say something.

4 0

3 years ago