We know that: <span>3(x-1)^2-162=0
or (x-1)</span>²= 162:3
and (x-1)²= 54
we <span>take the square root of both sides
* x-1=</span>√54= 3√6 or x=1+3√6
* x-1= -<span>√54= -3√6 or x=1-3√6
This equation has 2 solutions</span>
Answer:
180 hours
Step-by-step explanation:
Surfer #1 takes a capsule every 6 hours, but this is also equal to 2 capsules every 12 hours. Surfer #2 takes 1 capsule every 12 hours. Thus, both surfers take a total of 3 capsules every 12 hours.
By dividing 45 total capsules they need to consume by 3, the number of capsules the surfers consume every 12 hour, you get the total number of hours times 12 it takes for them to consume 45 capsules. 45 / 3 = 15, so it takes 15 * 12 hours for them to consume 45 capsules. This is equal to 180 total hours.
Answer:
Step-by-step explanation:
find only for x or?
Answer:
or around 57.88
Step-by-step explanation:
We can find the base length by using the formula for the area of a triangle.
Plug in the values that we know, the area and the height, and solve for 
.
![b=\frac{984}{17}So the base is [tex]\frac{984}{17}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B984%7D%7B17%7D%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3ESo%20the%20base%20is%20%5Btex%5D%5Cfrac%7B984%7D%7B17%7D)
or about 57.88 if you round to the nearest hundredth.
Given a quadratic equation 
, we define the discriminant as
The number of real solutions of the equation depend on the sign of 
:
- If
the equation has two solutions - If
the equation has one double solution - If
the equation has no real solutions
In this case, we have
And so this equation has no real solutions.
