Question

Please help !! asap mathematic question worth 12 points

Answer 1

1. (d) First F, then D, then C

2. x=16, not extraneous

Explanation:

1. Let's solve the given equation and see which steps we need:

`√(6x + 4) = 8`

Since the X is under a square root, let's raise both sides to their square value.

`√(6x + 4)^(2)  = 8^(2)`

So we get: 6x + 4 = 64

Next step is to isolate the x factor, so we need to subtract 4 on both sides, to get:

6x = 60

Then to isolate x, we need to divide both sides by 6.

x = 10.

2. Solve for x.
`√(x + 9) - 4 = 1`

We'll first begin by isolating the square root on its side alone:

`√(x + 9) = 5`

Then we'll raise each side to its square: x + 9 = 25

Isolate x, to get x = 16

Now, is that solution extraneous or not?

Let's enter 16 in the initial equation and find out:

`√(x + 9) - 4 = √(16 + 9) - 4 = √(25) - 4 = 5 - 4 = 1`

It works, so the solution is not extraneous!