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lora16 [44]
3 years ago
12

The equation 2x^2+5kx+k=0, where k is a constant has no real roots. Find possible values of k

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

Step-by-step explanation:

What do you mean "no real roots" ?

if I understand correctly we have

2x² + 5kx + k = 0

the solutions for such a quadratic equating are

x = (-b ± sqrt(b² - 4ac))/(2a)

a = 2

b = 5k

c = k

so, we get

x = (-5k ± sqrt(25k² - 8k))/4

why would that have no real solutions ?

e.g. k = 2

x = (-10 ± sqrt(100 - 16))/4 = (-10 ± sqrt(84))/4

since the sqrt is a little bit bigger than 9 we get 2 negative solutions for x. but still real.

I don't understand what your need here.

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The diagrams may not be drawn to scale. Find the value of y. AC is a straight line. А 56° yº B 123° су
Sliva [168]
<h3><u>Answer:</u></h3>
  • The answer is y = 67°.
<h3><u>Step-by-step explanation:</u></h3>
  • 56 + y + (180 - 123) = 180
  • => 56 + y + 57 = 180
  • => y = 180 - 113
  • => y = 67°
<h3><u>Conclusion:</u></h3>

Therefore, the answer is y = 67°.

Hoped this helped.

-BrainiacUser1357-

3 0
2 years ago
Write the equation of the line that passes through (2, 4) and has a slope of –1 in point-slope form.
grin007 [14]

y - y1 = m (x - x1)

where m is the slope and (x1 , y1) is the point given

 

We are given:

m= -1

the point is <span>(2, 4)
</span>


Then:

y - y1 = m (x - x1)
y-4 = (-1) (x-2)
y - 4 = -x + 2
y = -x +2 +4

y = -x + 6


Hope that helps you
8 0
3 years ago
Triangle ABC is to be translated right 3 units, down 5 units. What are the vertices of the translated triangle? A. A'(0, 9), B'(
jeka57 [31]
It is A. Because the point a would be on the -1 and the b would be on the -7 and the c would be on the -4
6 0
3 years ago
Help due tmmr! I will give brainliest!
Kisachek [45]

Answer:

6

Step-by-step explanation:

The answer is 6 because there is three other couples and so Barbie would have shaken each couples hand and in a couple there are two people so that would be two handshakes per couple minus Kens hand.

7 0
3 years ago
A number increased by 4 is the same as 19 minus 2 times the number
ElenaW [278]

Hello from MrBillDoesMath!

Answer:

n = 5


Discussion:

Let the original number be "n"  Translating the problem  statement to mathematical symbolism:

n + 4 = 19 - 2n                   =>  add 2n to both sides

n + 2n + 4 = 19 - 2n + 2n  =>  combine like terms

3n + 4 = 19                        => subtract 4 from both sides

3n = 19 -4  = 15                 => divide both sides by 3

n = 15/3 =5


Check: Does 5 +4 = 19 - 2(5)? Does 9 = 9? Yes. so the value for n is confirmed correct.


Thank you,

MrB

6 0
3 years ago
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