00:01
In this radical equation, the first thing that we want to do is isolate the radical or the square root in this case.
00:07
To do that, we want to subtract x from both sides of the equal sign.
00:11
So we have the square root of x plus 5 equals 7 minus x.
00:17
To undo the square root, we're going to square both sides of our equal sign.
00:23
So we have x plus 5 equals when we square 7 minus x, we have to use the distribution.
00:30
Property.
00:31
Remember, that means 7 minus x times 7 minus x.
00:36
So we obtain 49 minus 7x minus 7x, which is negative 14x plus x squared.
00:45
Now this is a quadratic equation that we need to solve.
00:49
To do that, we can set the equation equal to 0 by subtracting the x and subtracting the 5.
00:57
So 0 equals x.
01:00
Squared minus 15x plus 44.
01:06
Now we can attempt to solve this by factoring.
01:10
So x squared is x times x, and 44 is 4 times 11...