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3 years ago

Construct a quadratic equation whose roots are -2\3 and 5

1 answer:

4 0

_Brainliest if helped!

Roots -2/3 and 5 Means X=-2/3 or X=5
Hence the equation would be
(X+2/3)(X-5)=0
(3X+2)(X-5)=0
$3X^{2} +2X -15X -10 = 0 
$
Answer : $3X^{2} -13X-10=0$

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Please help me solve this exercise.!!

Volgvan

<h3>Answer: -4/3</h3>

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Explanation:

Let's square both sides and do a bit of algebra to get the following.

$\sin(x) + \cos(x) = 1/5\\\\\left(\sin(x) + \cos(x)\right)^2 = \left(1/5\right)^2\\\\\sin^2(x) + 2\sin(x)\cos(x) + \cos^2(x) = 1/25\\\\\sin^2(x) + \cos^2(x) + 2\sin(x)\cos(x) = 1/25\\\\1 + 2\sin(x)\cos(x) = 1/25\\\\\sin(2x) = 1/25 - 1\\\\\sin(2x) = 1/25 - 25/25\\\\\sin(2x) = -24/25\\\\$

Now apply the pythagorean trig identity to determine cos(2x) based on this. You should find that cos(2x) = -7/25

This then means tan(2x) = sin(2x)/cos(2x) = 24/7.

From here, you'll use this trig identity

$\tan(2x) = \frac{2\tan(x)}{1-\tan^2(x)}\\\\$

which is the same as solving

$\tan(2x) = \frac{2w}{1-w^2}\\\\$

where w = tan(x)

Plug in tan(2x) = 24/7 and solve for w to get w = -4/3 or w = 3/4

So either tan(x) = -4/3 or tan(x) = 3/4.

If we were to numerically solve the original equation for x, then we'd get roughly x = 2.21; then notice how tan(2.21) = -1.345 approximately when your calculator is in radian mode.

Since tan(x) < 0 in this case, we go for tan(x) = -4/3

8 0

3 years ago

Find Each Sum.<br> 1) (-1)+(-46)=<br> 2) (-30)+10=<br> 3) (-34)+50=<br> 4) 38+(-5)=

juin [17]

Answer:

1 is -47.

2 is -20

3 is 16.

4 is 33.

Step-by-step explanation:

Brainiest?

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3 years ago

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Rainbow [258]

Answer:

I am a beautiful person. The comments box. chart. This is a good 6 the most popular and I will be angry with me, but the 15th.

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I am a beautiful person. The list of neighbouring businesses by going to be a good day. I have been a long term, but I am a beautiful and the rest, I have been a while. I am not wasting our site and a half years. The list below to see you again for all of you. If it does, and a half years ago, but the most popular programs and I have been in touch and we'll be happy to do with it, but the 15th century. The may be

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3 years ago

Raisins sell for 3.50 per pound and granola sells for 5.90 a pound. Terri bought some raisins and granola. The total weight was

Ksju [112]

The correct answer is D.

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3 years ago

Which number line represents the solutions to 1-2x1 = 4?

kaheart [24]

Answer:

Third option: $x = -2$ and $x = 2$