Solve the radical equation. square root of 8x+9=x+2 which is an extraneous solution to the radical equation? x = −1 x = 1 x = 5 there are no extraneous solutions to the equation.

D. There are no extraneous solutions to the equation.

Step-by-step explanation:

We have been given an equation . We are asked to find extraneous solution to the radical equation.

First of all, we will square both sides of our given equation as:

Upon switching the sides, we will get:

Upon splitting the middle term:

Using zero product property, we will get:

Now, we will check both solutions to find any extraneous solution as:

True.

True.

Therefore, there is no extraneous solution to our given equation and option D is the correct choice.

D

Step-by-step explanation:

6 spoons of sugar for every 21 cups of flour

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1