Solving Surds Equation: Tips for Simplifying with Ease

  • Thread starter Mo
  • Start date
In summary, a "Simple() Surds equation" is an equation containing a root symbol, commonly used in mathematics and science. To solve such an equation, the root symbol must be isolated and simplified before squaring both sides to solve for the variable. These equations can have multiple solutions due to the introduction of extraneous solutions. A "Simple() Surds equation" differs from a rational equation, which contains a fraction. Real-life applications of "Simple() Surds equations" include physics, engineering, finance, and chemistry.
  • #1
Mo
81
0
Im feeling stupid today.

[tex]
{\sqrt{3}x = x + {\sqrt{3}}
[/tex]

The x is not (square rooted)

Can somebody please throw me in the right direction ??
 
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  • #2
Collect your x terms to one side, factor out the x. You should be able to take it from there.
 
  • #3
[tex] \sqrt{3} x - x = \sqrt {3} [/tex]
then take x as a common factor

M B
 
Last edited:
  • #4
why didn't my [tex] appear?

M B
 
  • #5
Thanks both.Got the answer, checked it and its correct :)

Regards,
Mo
 
  • #6
You put "[tex]" to end the statement.It should be [ / tex] :smile:
 
Last edited:
  • #7
Thanks!

M B
 

Related to Solving Surds Equation: Tips for Simplifying with Ease

1. What is a "Simple() Surds equation"?

A "Simple() Surds equation" is an equation that contains a square root or other root symbol. These types of equations are often used in mathematics and science to represent relationships between variables.

2. How do you solve a "Simple() Surds equation"?

To solve a "Simple() Surds equation," you must isolate and simplify the square root or other root symbol on one side of the equation. Then, you can square both sides of the equation to eliminate the root symbol and solve for the variable.

3. Can "Simple() Surds equations" have multiple solutions?

Yes, "Simple() Surds equations" can have multiple solutions. This is because when you square both sides of the equation, you may introduce extraneous solutions or solutions that do not satisfy the original equation.

4. What is the difference between a "Simple() Surds equation" and a "rational equation"?

A "Simple() Surds equation" contains a root symbol, while a rational equation contains a fraction with variables in the numerator and denominator. Both types of equations require algebraic manipulation to solve for the variable.

5. What are some real-life applications of "Simple() Surds equations"?

"Simple() Surds equations" have many real-life applications, such as in physics to calculate the speed of an object or in engineering to determine the dimensions of a structure. They are also used in finance to calculate compound interest or in chemistry to calculate reaction rates.

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