2 years ago

Find ALL solutions: x^4 + 8x = 0

Mathematics

2 answers:

zvonat [6]2 years ago

7 0

Answer:

x = 0 or x = -2

Step-by-step explanation:

x^4+8x=0

Step 1: Factor left side of equation.

x(x+2)(x2−2x+4)=0

Step 2: Set factors equal to 0.

x=0 or x+2=0 or x2−2x+4=0

x=0 or x=−2

ehidna [41]2 years ago

3 0

Answer:

x= 0, -2, 1+i $\sqrt{3}$ , 1-i $\sqrt{3}$

Step-by-step explanation:

Hope it helps ;)

You might be interested in

Silvio is an air-traffic controller who must calculate the altitude of an incoming plane. He sees the plane at an angle of eleva

Mrac [35]

Since the problem is not telling us the height of Silvio, we are going to assume it is not relevant for our calculations.
Let $h$ the altitude of the incoming plane. We know for our problem that the distance between Silvio and the tower is 3 miles, Also we know that the angle of elevation to the plane is 40°. With this information we can create a triangle as shown in the figure. We need a function that relates the angle of elevation with its opposite and adjacent sides, that function is tangent.
$tan \alpha = \frac{opposite.side}{adjacent.side}$
$tan(40)= \frac{h}{3}$
$h=3tan(40)$
$h=2.5miles$

We can conclude that we should use the trig function tangent to model this situation; also, we can conclude that the equation that describes this situation is $h=3tan(40)$ .