Question

Write your own radical equation where it would be impossible for x=-4,0 to be solution both are extraneous. Do not actually solve equation.

Answer 1

@SolomonZelman

Answer 2

@pooja195

Answer 3

please help me to start

Answer 4

@ganeshie8

Answer 5

@AravindG

Answer 6

@Astrophysics

Answer 7

What level math is this? I just want to know before I start helping. Is this Algebra or Algebra II?

Answer 8

Algebra 2 @neonumbrella5115

Answer 9

Okay. Perfect!
So, in an equation, when a value is excluded, it means that the value can't be in the equation or else the equation will be undefined. For example, when the denominator of a fraction is 0. So, if we want the denominator of our fraction to equal 0, and we want x to equal 0, we can just put x in the denominator right? So our equation looks like this so far:
In this equation no matter what else is included, when x is 0, the equation is always going to be undefined.

Does this make sense so far?

Answer 10

yes

Answer 11

ok

Answer 12

Okay, so now we need to deal with this x cannot equal -4. If we want x to not equal four, we need to get the denominator to still equal zero, even if there is a -4 instead of a 0. So what when added to -4 gets you 0?

Answer 13

4

Answer 14

Right! So if we include x+4 in our denominator then when x=-4, the equation will be undefined right? So then -4 will be extraneous.
So now to make this equation radical, we need to include a radical. We can do this by putting the entire equation under a radical symbol or making the numerator a radical. You can choose.