Answer:
Option D. {7 + i√71 / 20, 7 – i√71 / 20}
Step-by-step explanation:
10m² – 7m + 3 = 0
Using formula method, the solution to equation can be obtained as follow:
10m² – 7m + 3 = 0
Coefficient of m² (a) = 10
Coefficient of –7m (b) = –7
Constant (c) = 3
m = –b ±√(b² – 4ac) / 2a
= – –7 ±√((–7)² – 4 × 10 × 3) / 2 × 10
= 7 ±√(49 – 120) / 20
= 7 ±√(–71) / 20
Recall:
–17 = –1 × 17
Thus,
7 ±√(–71) / 20 = 7 ±√(–1 × 71) / 20
Recall:
√–1 = i
Thus,
7 ±√(–1 × 71) / 20 = 7 ± i√71 / 20
= 7 + i√71 / 20 or 7 – i√71 / 20
Therefore, the solutions to the equation are:
{7 + i√71 / 20, 7 – i√71 / 20}
Answer:
<h2>
Larger number = 10</h2><h2>
Smaller number = 5</h2>
Step-by-step explanation:
Let larger number be x
Let smaller number be y
---> equation (i)
![y = \frac{1}{2} x](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20x)
-----> equation (ii)
Equate equation (i) and (ii),
![5 + y = 2y](https://tex.z-dn.net/?f=5%20%2B%20y%20%3D%202y)
Move variable to L.H.S and change its sign:
Similarly, Move constant to R.H.S and change its sign
![y - 2y = - 5](https://tex.z-dn.net/?f=y%20-%202y%20%3D%20%20-%205)
![- y = - 5](https://tex.z-dn.net/?f=%20-%20y%20%3D%20%20-%205)
The difference sign (-) will be cancelled on both sides
![y = 5](https://tex.z-dn.net/?f=y%20%3D%205)
Putting the value of y in equation (ii) in order to find the value of X ( larger number)
![x = 2y](https://tex.z-dn.net/?f=x%20%3D%202y)
Plug the value of y
![= 2 \times 5](https://tex.z-dn.net/?f=%20%3D%202%20%5Ctimes%205)
Calculate the product
![= 10](https://tex.z-dn.net/?f=%20%3D%2010)
Hence,
Smaller number = 5
Larger number = 10
Hope this helps..
Best regards!!
It will be 66 because if u divide 22 from 3 you will get 66
<span>x = 1/3x 2 because f[x] is the inverse of x </span>