2 years ago

Find the value of the discriminant. Then describe the number and type of roots

Mathematics

1 answer:

Paha777 [63]2 years ago

8 0

Answer:

Step-by-step explanation:

Equation : -1x² - 14x + 2 = 0General Formula : b2-4ac=0a=-1, b= -14, c= 2Put the Value in General FormD = (-14)2 - 4 x -1 x 2D = 196--8D = 204

and the polynomial has 2 real roots

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(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x

Aliun [14]

As

$\tan x=\dfrac{\sin x}{\cos x}$
$\cot x=\dfrac{\cos x}{\sin x}$

we have

$\sin x(\tan x\cos x-\cot x\cos x)=\sin x\left(\sin x-\dfrac{\cos^2x}{\sin x}\right)=\sin^2x-\cos^2x$

Recalling that $\cos2x=\cos^2x-\sin^2x$ , we end up with

$-\cos2x=1-2\cos2x$
$1=\cos2x$
$\implies2x=2n\pi$

(where $n$ is any integer)

$\implies x=n\pi$

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3 years ago

sylvia has $100. She spent 4/10 of her money on a jacket and 20/100 of her money on jeans. What fraction of her money did sylvia

8_murik_8 [283]

60/100 that's what I got .

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3 years ago

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What is 5.5 written as a fraction in simplest form

julia-pushkina [17]

5.5 as a fraction is 11/2

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3 years ago

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There are 125 skittles in a bag. This consists of 35 red, 25 yellow, 20 purple, 15 green and 30 orange skittles. Find the percen

tino4ka555 [31]

Answer:

red=28℅,yellow =20℅, purple =16℅, green =12℅, orange=24℅

Step-by-step explanation:

total skittles =125

now,

To find the percentage of each skittles,

red =35 (35 ×100) =28 ℅

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u can find each ℅ by same method.

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3 0

3 years ago

Solve the following equation (If possible please show work)

natima [27]

Answer:

x = 1.8

Step-by-step explanation:

2 ( 4x-3) - 8 = 4-2x

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8x -6 -8 = 4- 2x

Combine like terms

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Add 2x to each side

8x - 14 +2x = 4-2x+2x

10x-14 = 4

Add 14 to each side

10x-14+14 = 4+14

10x = 18

Divide by 10

10x/10 = 18/10

x = 1.8

8 0

3 years ago