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Rasek [7]
3 years ago
5

What is the solution to this polynomial equation? x3 + 2x2 - 4x - 8 = 0

Mathematics
1 answer:
Naddik [55]3 years ago
3 0

x3 + 2x2 - 4x - 8 = 3x-8

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At which points are the tangents drawn to the ellipse x 2 + y 2 = [ a ] x + [ a ] y parallel to
In-s [12.5K]

The given equation of the ellipse is x^2 + y^2 = 2 x + 2 y

At tangent line, the point is horizontal with the x-axis therefore slope = dy / dx = 0

<span>So we have to take the 1st derivative of the equation then equate dy / dx to zero.</span>

x^2 + y^2 = 2 x + 2 y

x^2 – 2 x = 2 y – y^2

(2x – 2) dx = (2 – 2y) dy

(2x – 2) / (2 – 2y) = 0

2x – 2 = 0

x = 1

 

To find for y, we go back to the original equation then substitute the value of x.

x^2 + y^2 = 2 x + 2 y

1^2 + y^2 = 2 * 1 + 2 y

y^2 – 2y + 1 – 2 = 0

y^2 – 2y – 1 = 0

Finding the roots using the quadratic formula:

y = [-(- 2) ± sqrt ( (-2)^2 – 4*1*-1)] / 2*1

y = 1 ± 2.828

y = -1.828 , 3.828

 

<span>Therefore the tangents are parallel to the x-axis at points (1, -1.828) and (1, 3.828).</span>

3 0
3 years ago
Quick please! Which best describes the triangle? 1.Acute and isosceles 2.Acute and scalene 3. Right isosceles 4.Obtuse and isosc
rjkz [21]

Answer:

hey there!!!

Step-by-step explanation:

i think the best option is acute and isosceles from my view

hope it helps you...

4 0
3 years ago
What is the area of this triangle?
olganol [36]

Answer:

the answer of the question is D

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3 years ago
If you if you take away 25% of the radius of the suspension how much raise would you have left over of the hundred percent you t
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Answer:

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Step-by-step explanation:

25% of 100 is 25

100 - 25 = 75

Give me brainllest

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3 years ago
What is the slope of the line shown below?
Brrunno [24]
The slope is D) 4/11.
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3 years ago
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