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3 years ago

Please help, I’m not sure how to solve this

Mathematics

1 answer:

Verdich [7]3 years ago

8 0

C my guyyyyyyyyyyyyy

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Give an example of a quadratic with complex roots. Explain how you know it has complex roots.

Vladimir [108]

2x^2 + x + 3=0 has only complex roots.

The determinant is 1-4*2*3 = -23

-23 (or any determinant) is the part under the square root sign, If that determinant is negative, knowing you cannot take the square root of a negative number, we know the answers must be complex.

5 0

4 years ago

20 points!!

ANEK [815]

See below for the proof of the equation $\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$

<h3>How to prove the equation?</h3>

The equation is given as:

$\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$

Take the LCM

$\frac{(ax + by)(x - y) -(ax - by)(x + y)}{(x + y)(x - y)}= 2(a - b)$

Expand

$\frac{ax^2 - axy + bxy - by^2 -ax^2 - axy + bxy + by^2}{(x + y)(x - y)}= 2(a - b)$

Evaluate the like terms

$\frac{-2axy + 2bxy }{(x + y)(x - y)}= 2(a - b)$

Rewrite as:

$\frac{-2axy + 2bxy }{x^2 - y^2}= 2(a - b)$

Factorize the numerator

$\frac{2(a - b)(x^2 - y^2)}{x^2 - y^2}= 2(a - b)$

Divide

2(a - b)= 2(a - b)

Both sides are equal

Hence, the equation $\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$ has been proved

Read more about equations at:

brainly.com/question/2972832

#SPJ1

5 0

2 years ago

What is the solution of /x2+49 = x+5?

ICE Princess25 [194]

Answer: x= 12/5 or 2 2/5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

2. A nutritionist wants to collect data on how much caffeine the average American drinks per day. She has the following ideas fo

WARRIOR [948]

Answer:

Step-by-step explanation:

If you start to ask after 10:00 am, a lot of people isn't drinking caffeine. And, were trying to figure out the average.

7 0

3 years ago

What is the reciprocal of 2 3/4? (Please help/ and write fraction form please...)

Semenov [28]

0.36363636363 = 0.36363636363/1 = 3.6363636363/10 = 36.363636363/100 = 363.63636363/1000 = 3636.3636363/10000 = 36363.636363/100000 = 363636.36363/1000000 = 3636363.6363/10000000 = 36363636.363/100000000 = 363636363.63/1000000000 = 3636363636.3/10000000000 = 36363636363/100000000000 the answer is

0.36363636363 as a fraction equals 36363636363/100000000000

5 0

3 years ago