We write to expressions since there are two unknown here which is x and y. The first expression is the <span>sum of two numbers, x and y, is 12.
x + y = 12
The second expression is that the </span><span>difference of x and two times y is 6.
x -2y = 6
Therefore, the values of x and y are 10 and 2.</span>
The first step in solving this problem is taking 2 and 3 and multiplying them (2 * 3 = 6) .
Now, for the second step, we will cube it. Since there are 2 numbers, we are going to use the 2nd root (2sqrt(6)) This will give us: 4.89897948557 or 5 if you would round it. This would be the Geometric Mean.
I'm willing to help you with both parts
The y factors of the given quadratic equation is -1 and 40/22.
According to the statement
we have given that the equation and we have to find the factors of those equation.
So, The given equation is:
![Y =x^2-23x^2 + 18x+40](https://tex.z-dn.net/?f=Y%20%3Dx%5E2-23x%5E2%20%2B%2018x%2B40)
where y is the factors of that equation.
So, we have to find the factors of the given quadratic equation.
![x^2-23x^2 + 18x+40 = 0](https://tex.z-dn.net/?f=x%5E2-23x%5E2%20%2B%2018x%2B40%20%3D%200)
Then after solving it become
![-22x^2 + 18x+40 = 0](https://tex.z-dn.net/?f=-22x%5E2%20%2B%2018x%2B40%20%3D%200)
Then take negative sign common from it then
![22x^2 - 18x - 40 = 0](https://tex.z-dn.net/?f=22x%5E2%20-%2018x%20-%2040%20%3D%200)
Make the factors of this quadratic equation
![22x^2 + 22x -40x - 40 = 0](https://tex.z-dn.net/?f=22x%5E2%20%2B%2022x%20-40x%20-%2040%20%3D%200)
Now take common values 22x and 40 from the equation then
![22x (x + 1) -40 (x + 1) = 0](https://tex.z-dn.net/?f=22x%20%28x%20%2B%201%29%20-40%20%28x%20%2B%201%29%20%3D%200)
Then it become
![(22x - 40) (x + 1) = 0](https://tex.z-dn.net/?f=%2822x%20-%2040%29%20%28x%20%2B%201%29%20%3D%200)
Then the values of x become from the equation is
![x = -1, x= 40/22](https://tex.z-dn.net/?f=x%20%3D%20-1%2C%20x%3D%2040%2F22)
The value of the factors y is -1 and 40/22.
So, The y factors of the given quadratic equation is -1 and 40/22.
Learn more about Quadratic equation here
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