The property that is essential to solving radical equations is being able to do the opposite function to the radical and to the other side of the equation. This allows you to solve for the variable. For example, sqrt (x) = 125.11 [sqrt (x)]2 = (125.11)2 x = 15652.5121
Technically,no. A radical equation has a radical (Square root) in it, and has two solutions because the square root can be positive or negative.
If you take an equation such as Ax2+ Bx+c=0, you can complete the square and then use the square root property to solve it. That is how we derive the quadratic equation. For example, x2+2x-9=0 We write this as (x+1)2=10 bu completing the square then the square root property tell us that x+1 is PLUS OR MINUS Square root of 10
A radical equation is one that involves square root (or possibly other roots eg. cube roots, etc.).
the index in a radical equation appears above and left of the root symbol and tells you what kind of root the radicand is.
Square both sides of the equation to get rid of the radical sign. Then just solve as you normally would. Good luck! :-)
It is an equation containing a fractional power. Square roots and cube roots are typical examples but any fraction - positive or negative - will result in a radical equation.
radical equations have sq roots, cube roots etc. Quadratic equations have x2.
When in doubt always square both sides of the equation.
It often helps to isolate the radical, and then square both sides. Beware of extraneous solutions - the new equation may have solutions that are not part of the solutions of the original equation, so you definitely need to check any purported solutions with the original equation.
The first step is produce the radical equation that needs solving.