For this case we have to:
Given the quadratic equation of the form:
![ax ^ 2 + bx + c = 0](https://tex.z-dn.net/?f=ax%20%5E%202%20%2B%20bx%20%2B%20c%20%3D%200)
The roots are given by:
![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)
If we have: ![x ^ 2 + 14x + 17 = -96](https://tex.z-dn.net/?f=x%20%5E%202%20%2B%2014x%20%2B%2017%20%3D%20-96)
We can rewrite it in the following way:
![x ^ 2 + 14x + 17 + 96 = 0\\x ^ 2 + 14x + 113 = 0](https://tex.z-dn.net/?f=x%20%5E%202%20%2B%2014x%20%2B%2017%20%2B%2096%20%3D%200%5C%5Cx%20%5E%202%20%2B%2014x%20%2B%20113%20%3D%200)
Where:
![a = 1\\b = 14\\c = 113](https://tex.z-dn.net/?f=a%20%3D%201%5C%5Cb%20%3D%2014%5C%5Cc%20%3D%20113)
Where we have:
![x = \frac {-14 \pm \sqrt {(14) ^ 2-4 (1) (113)}} {2 (1)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-14%20%5Cpm%20%5Csqrt%20%7B%2814%29%20%5E%202-4%20%281%29%20%28113%29%7D%7D%20%7B2%20%281%29%7D)
![x = \frac {-14 \pm \sqrt {(196-452)}} {2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-14%20%5Cpm%20%5Csqrt%20%7B%28196-452%29%7D%7D%20%7B2%7D)
![x = \frac {-14 \pm \sqrt {-256}} {2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-14%20%5Cpm%20%5Csqrt%20%7B-256%7D%7D%20%7B2%7D)
By definition: ![\sqrt {-1} = i](https://tex.z-dn.net/?f=%5Csqrt%20%7B-1%7D%20%3D%20i)
![x = \frac {-14 \pm \sqrt {256} i} {2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-14%20%5Cpm%20%5Csqrt%20%7B256%7D%20i%7D%20%7B2%7D)
![x = \frac {-14 \pm16i} {2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-14%20%5Cpm16i%7D%20%7B2%7D)
![x = \frac {-14} {2} \pm \frac {16i} {2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B-14%7D%20%7B2%7D%20%5Cpm%20%5Cfrac%20%7B16i%7D%20%7B2%7D)
![x = -7 \pm8i](https://tex.z-dn.net/?f=x%20%3D%20-7%20%5Cpm8i)
Thus, the roots are given by imaginary numbers:
![x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%20-%207%20%2B%208i%5C%5Cx_%20%7B2%7D%20%3D%20-%207-8i)
Answer:
![x_ {1} = - 7 + 8i\\x_ {2} = - 7-8i](https://tex.z-dn.net/?f=x_%20%7B1%7D%20%3D%20-%207%20%2B%208i%5C%5Cx_%20%7B2%7D%20%3D%20-%207-8i)
Answer:
Harry has 120$
Step-by-step explanation
6x+5x=220
11x=220
/11 /11
x=20
6 * 20 = 120
I'd apptreciate help w my questions if u can :)
It is A bro 4 eso a huevo
Answer:
-1
Step-by-step explanation:
you mutiply the 3 on both sides and then you subtract the 2 from both sides.
-t=1
then u divide by negative 1 which will make the right side number negative