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3241004551 [841]
3 years ago
5

Will anyone please help me with this!Please yo math nerds i need u!

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

ax^2 + bx + c = 0

a(x^2 + b/a x) + c = 0

Completing the square:

a [ (x + b/2a)^2  - b^2/4a^2] + c = 0

a[ (x + b/2a )]^2 - b^2 / 4a + c = 0

a[ (x + b/2a )]^2 = b^2 / 4a - c

Dividing both sides by a:

(x + b/2a  )^2  =  b^2/4a^2 - c/a

Taking square roots of both sides:

x + b/2a    =   +/- √ (b^2/ 4a^2  - c/a)

x + b/2a  =  +/-  √ [ ( b^2 -  4ac) / 4a^2 )]

x + b/2a  =   +/- √ ( b^2 -  4ac) / 2a

Subtracting  b/2a from both sides and converting the right side to one fraction:

x =  [- b  +/-  √ ( b^2 -  4ac]  / 2a.

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Read 2 more answers
The equation represents a hyperbola centered at the origin with a directrix of . what is the value of b? 10 16 20 26
Rom4ik [11]

the value of b is = 10.

The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.

<h3>What is hyperbola?</h3>

The geometric characteristics of a hyperbola or the equations for which it is the solution set characterize it as a particular kind of smooth curve that lies in a plane. Mirror reflections of each other that resemble two infinite bows make up a hyperbola's two connected components or branches.

<h3>What is the general formula for hyperbola?</h3>

The general formula for hyperbola = (x - h)²/a²- (y - k)²/(b)² = 1

<h3>According to the given information:</h3>

x²/24 - y²/(b)² = 1

(x - 0)²/24 - (y -0)²/(b)² = 1

a=24,h=0 and k=0

Now equation of the directrix

x=a²/c...(1)

and we know x=576/26...(2)

Therefore from 1 and 2 we get

24²/c=576/26.

isolate the c so we get,

C=26

C= center of focii

c = √(a² + b³)

c² = a² + b²

b = c² - a²

b = 10

So we get the value of b is 10.

Therefore the equation of a hyperbola is x²/24² - y²/ (10)² =  1.

To know more about Hyperbola visit:

brainly.com/question/12919612

#SPJ4

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