Question

consider the equation is Y equals 1/square root of x and y=x-2. approximate solution of the system equations

Answer 1

x=1.5 & x=1.2

Explanation:

I took the mastery test for Edmentum and I got it right :)

Answer 2

`x=1` and
`x=4`

Explanation:

We have the following system of equations:

`y=√(x)` and
`y=x-2`

To solve the problem, we need to equal the two equations:

`x-2=√(x)` ⇒
`(x-2)^(2) =x` ⇒
`x^(2) -4x + 4 = x`

⇒
`x^(2) -5x + 4 = 0`

So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are
`x=-1` and
`x=-4`.

Then, the factorized form of the polynomial is:
`(x-1)(x-4)`.

The, the solution to the system of equations is:
`x=1` and
`x=4`.