Answer:
if the discriminant < 0 no solution
if = 0 then one solution
if > 0 then two solutions
start from the first one and calculate b^2-4ac
the first one is x^2 + 4x +4 = 0
a is the factor next to x^2 (1 in this case)
b is the factor next to x (4 in this case)
c is the number without any x (4 in this case)
so the discriminant is 4^2 - 4*(1)*4 = 16-16 = 0 = one solution
Step-by-step explanation:
Answer:
Ginni and Waren
Step-by-step explanation:
Here both Ginni and ware are partners in the Company after a year when ginni founded it.
Both Ginni and Waren are risk, because both the partners have unlimited personal liability so it does not matter who owns the larger share of the company. The risk will be equal on both the partners whereas Phebe here is at the least risk .
For this case we have the following equation:
![2v ^ 2-12 = -12v](https://tex.z-dn.net/?f=2v%20%5E%202-12%20%3D%20-12v)
Rewriting we have:
![2v ^ 2 + 12v-12 = 0](https://tex.z-dn.net/?f=2v%20%5E%202%20%2B%2012v-12%20%3D%200)
Dividing by 2 to both sides of the equation:
![v ^ 2 + 6v-6 = 0](https://tex.z-dn.net/?f=v%20%5E%202%20%2B%206v-6%20%3D%200)
We apply the quadratic formula:
![x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-b%20%5Cpm%20%5Csqrt%20%7Bb%20%5E%202-4%20%28a%29%20%28c%29%7D%7D%20%7B2a%7D)
We have to:
![a = 1\\b = 6\\c = -6](https://tex.z-dn.net/?f=a%20%3D%201%5C%5Cb%20%3D%206%5C%5Cc%20%3D%20-6)
Substituting:
![x = \frac {-6 \pm \sqrt {6 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-6 \pm \sqrt {36 + 24}} {2}\\x = \frac {-6 \pm \sqrt {60}} {2}\\x = \frac {-6 \pm \sqrt {4 * 15}} {2}\\x = \frac {-6 \pm2 \sqrt {15}} {2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-6%20%5Cpm%20%5Csqrt%20%7B6%20%5E%202-4%20%281%29%20%28-%206%29%7D%7D%20%7B2%20%281%29%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-6%20%5Cpm%20%5Csqrt%20%7B36%20%2B%2024%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-6%20%5Cpm%20%5Csqrt%20%7B60%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-6%20%5Cpm%20%5Csqrt%20%7B4%20%2A%2015%7D%7D%20%7B2%7D%5C%5Cx%20%3D%20%5Cfrac%20%7B-6%20%5Cpm2%20%5Csqrt%20%7B15%7D%7D%20%7B2%7D)
Thus, we have two roots:
![x_ {1} = - 3+ \sqrt {15}\\x_ {2} = - 3- \sqrt {15}](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%20-%203%2B%20%5Csqrt%20%7B15%7D%5C%5Cx_%20%7B2%7D%20%3D%20-%203-%20%5Csqrt%20%7B15%7D)
ANswer:
![x_ {1} = - 3+ \sqrt {15}\\x_ {2} = - 3- \sqrt {15}](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%20-%203%2B%20%5Csqrt%20%7B15%7D%5C%5Cx_%20%7B2%7D%20%3D%20-%203-%20%5Csqrt%20%7B15%7D)
<span>The smallest positive integer with factors of 16, 15, and 12 </span>is 240.
Answer:
x = 4 or D
Step-by-step explanation:
3x - 6 = 6
Solve for x
3x = 12
x = 4