Answer:
![(x -3 )^2 = 10](https://tex.z-dn.net/?f=%28x%20-3%20%29%5E2%20%3D%2010)
Step-by-step explanation:
Given
![x^2 - 6x - 1 = 0](https://tex.z-dn.net/?f=x%5E2%20-%206x%20-%201%20%3D%200)
Required: Express as a perfect square
![x^2 - 6x - 1 = 0](https://tex.z-dn.net/?f=x%5E2%20-%206x%20-%201%20%3D%200)
Add 10 to both sides
![x^2 - 6x - 1 +10= 0+10](https://tex.z-dn.net/?f=x%5E2%20-%206x%20-%201%20%2B10%3D%200%2B10)
![x^2 - 6x +9= 10](https://tex.z-dn.net/?f=x%5E2%20-%206x%20%2B9%3D%2010)
Expand
![x^2 - 3x - 3x+9= 10](https://tex.z-dn.net/?f=x%5E2%20-%203x%20%20-%203x%2B9%3D%2010)
Factorize:
![x(x - 3) - 3(x - 3)= 10](https://tex.z-dn.net/?f=x%28x%20-%203%29%20-%203%28x%20%20-%203%29%3D%2010)
Factorize:
![(x -3 )(x - 3) = 10](https://tex.z-dn.net/?f=%28x%20-3%20%29%28x%20-%203%29%20%3D%2010)
![(x -3 )^2 = 10](https://tex.z-dn.net/?f=%28x%20-3%20%29%5E2%20%3D%2010)
Is the question multiple choice?
Answer:
2.7
Step-by-step explanation:
Given :
Each morning a gardener uses 25 gallons of water from a barrel.
Each afternoon, she adds 15 gallons of water to the barrel.
To Find :
By how much has the volume of water in the barrel changed after 5 days.
Solution :
Amount of of water used from the barrel per day is :
A = 25 - 15 gallons
A = 10 gallons
Now, volume of water in the barrel changed after 5 days is :
V = A × 5 gallons
V = 10 × 5 gallons
V = 50 gallons
Therefore, volume of water in barrel is changed by 50 gallons.
I think the Answer is 4d-6