You can put this solution on YOUR website! what is the solution of the equation?
To solve a radical equation we first need to get the radical, i.e. square root, by itself
Add 5 to both sides to get
To "undo" the square root function, we need to do the inverse, which is square both sides. Notice that the square root is now undone
Squaring the right side is the same as (x + 5)(x + 5). Many students often make the mistake of saying it would be forgetting that they need to FOIL this expression out. Done correctly we should get
We can see this results in a quadratic, which means we have to set it to zero, moving everything to one side
Simplifying the right side by combining like terms yields
After set to zero we factor. What multiplies to give 12 but adds to 8?
Set each factor to zero or
and solve for x to get our solutions! or
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