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What property of the square root is essential in order to solve any radical equation involving a square root?
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
How is a radical equation similar to a linear equation?
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.
What square root property is essential to solve any radical equation involving square root?
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
When solving a radical equation you should first isolate the radical and then both sides?
Radical...Apex :)
What is a radical equation?
A radical equation is one that involves square root (or possibly other roots eg. cube roots, etc.).
Where is the index in a radical equation?
the index in a radical equation appears above and left of the root symbol and tells you what kind of root the radicand is.
How do you solve a radical equation with a variable beside the number inside of the radical?
Square both sides of the equation to get rid of the radical sign. Then just solve as you normally would. Good luck! :-)
Meaning of radical equation?
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.
What is the difference between a radical equation and a quadratic equation?
radical equations have sq roots, cube roots etc. Quadratic equations have x2.
How do you simplify a radical equation?
When in doubt always square both sides of the equation.
In general when solving a radical equation should you first isolate the radical and then both sides?
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.
What are the different steps in solvingradical equation?
The first step is produce the radical equation that needs solving.
