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luda_lava [24]
3 years ago
11

Explain the difference between quadratic equations with one solution, two solutions, and complex solutions

Mathematics
1 answer:
shusha [124]3 years ago
4 0
Recall that given the equation of the second degree (or quadratic)
 ax ^ 2 + bx + c
 Its solutions are:
 x = (- b +/- root (b ^ 2-4ac)) / 2a
 discriminating: 
 d = root (b ^ 2-4ac)
 If d> 0, then the two roots are real (the radicand of the formula is positive). 
 If d = 0, then the root of the formula is 0 and, therefore, there is only one solution that is real and of multiplicity 2 (it is a double root).
 If d <0, then the two roots are complex and, in addition, one is the conjugate of the other. That is, if one solution is x1 = a + bi, then the other solution is x2 = a-bi (we are assuming that a, b, c are real).
 One solution:
 A cut point with the x axis
 Two solutions:
 Two cutting points with the x axis.
 Complex solutions:
 Does not cut to the x axis
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=(1/10)(0.2/1)

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What is the simplest form of √126xy^5/32x^3 (square root of the entire thing btw)​
grandymaker [24]

Answer:

Step-by-step explanation:

implify the radical by breaking the radicand up into a product of known factors.

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of 320 consumers polled, some purchase blu-ray movies, some only purchase movies on dvd, and some do both. if 300 people polled
Helga [31]

Answer:

20 people only buy dvds.

Step-by-step explanation:

There are two groups in this problem. One group of people that buys dvds and one that buys blu rays. The total amount of people who buy blu rays is 300, but there's an intersection between the groups and the size of this is 280 people who actually buy both. In order to find out how many people only buy DVDs we first need to figure out how many only buy blu-rays. That is:

people who only buy blu rays = people who buy blu rays - people who buys blu rays and dvds

people who only buy blu rays = 300 - 280 = 20

We can now calculate the amount of people who only buy dvds and that is:

people who only buy dvds =total amount of people - ( people who only buy blu rays + people who buy both)

people who only buy dvds = 320 - (20 + 280) = 320 - 300 = 20 people

3 0
3 years ago
I cant believe how bad my brother, Reuben, is at growing things. He bought a whole bunch of plants at the nursery the other day.
jeka94

Answer:

68 plants.

Step-by-step explanation:

Let x represent the number of plants that Reuben bought from the nursery.

We have been given that Reuben bought a whole bunch of plants at the nursery the other day. Right away, five died. So number of plant left would be x-5.

We are also told that then our dog dug up 2/9 of them. So number of plants left after dug-up would be \frac{2}{9}(x-5).

Further a rabbit came and ate ½ of what was left. So number of plants left would be \frac{\frac{2}{9}(x-5)}{2}=\frac{2}{9\times 2}(x-5)=\frac{1}{9}(x-5).

Since Reuben had only 7 plants left, so we will equate our expression with 7 and solve for x as:

\frac{1}{9}(x-5)=7

9\times \frac{1}{9}(x-5)=7\times 9

x-5=63

x-5+5=63+5

x=68

Therefore, Reuben bought 68 plants at the nursery.

6 0
3 years ago
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